48 (number)

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← 47 48 49 →
Cardinalforty-eight
Ordinal48th
(forty-eighth)
Factorization24 × 3
Divisors1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Greek numeralΜΗ´
Roman numeralXLVIII
Binary1100002
Ternary12103
Senary1206
Octal608
Duodecimal4012
Hexadecimal3016

48 (forty-eight) is the natural number following 47 and preceding 49. It is one third of a gross, or four dozens.

In mathematics

Forty-eight is the

6,[1] a highly composite number.[2] Like all other multiples of 6, it is a semiperfect number.[3] 48 is the second 17-gonal number.[4]

48 is the smallest number with exactly ten divisors, and the first multiple of 12 not to be a sum of twin primes.

There are 11 solutions to the equation φ(x) = 48, namely 65, 104, 105, 112, 130, 140, 144, 156, 168, 180 and 210. This is more than any integer below 48, making 48 a highly totient number.[5]

Since the greatest prime factor of 482 + 1 = 2305 is 461, which is clearly more than twice 48, 48 is a Størmer number.[6]

48 is a Harshad number in base 10.[7] It has 24, 2, 12, and 4 as factors.

In science

Astronomy

In religion

  • The prophecies of 48 Jewish
    Tanakh
    for posterity.
  • According to the
    Pirkei Avoth
    6:6).
  • In
    Pureland Buddhism
    .

In music

  • Johann Sebastian Bach's
    Well-Tempered Clavier
    is informally known as The Forty-Eight because it consists of a prelude and a fugue in each major and minor key, for a total of forty-eight pieces.
  • "48" is a song by Sunny Day Real Estate.
  • "48" is a song by
    Tyler, The Creator
    .
  • "Forty eight" is a song by Truckfighters on their 2007 album, Phi.
  • "48 Hour Parole" is a song by the
    Hollies
    .
  • "48 Crash" is a song by Suzi Quatro.
  • Familiar 48 is an alternative pop/rock band formerly known as Bonehead.
  • On Tool's album Ænima, there is a song named "
    Forty-Six & 2
    ", the sum of which is 48.
  • AKB48 Group is a Japanese female idol group.

In sports

  • 48 is the total number of minutes in a full
    NBA
    game.

In other fields

Forty-eight may also refer to:

  • the code for international direct dial phone calls to Poland.
  • the model number of the
    HP-48
    S/SX/G/GX/G+/GII.
  • the 48 Hour Film Project.
  • The First 48, an American crime program, 2004-present.
  • 48 Hours is a television news program on CBS
    .
  • 48 Hrs., a 1982 film starring Nick Nolte and Eddie Murphy, followed by Another 48 Hrs.
  • Arizona is the 48th state in the United States.
  • The 48 United States (excluding Alaska and Hawaii) are also referred to as the "Lower 48" or the "48 contiguous states".
  • '48 is an alternate history novel by James Herbert.
  • Robert Greene
    .
  • The number 48 in ASCII is what you add to any single digit integer to convert to its ASCII value.
  • MAC address uses 48-bit (6-byte).
  • The number of the
    French department Lozère
    .
  • a model of Harley-Davidson in the Sportster line.
  • In Chinese numerology, 48 is an auspicious number meaning 'determined to prosper', or simply 'prosperity', which is good for business.[9]
  • 48 is the number of mountain peaks in New Hampshire over 4000 feet above sea level, as defined by the Appalachian Mountain Club.
  • '48 is a slang term in
    Arab people from those parts
    are colloquially known as 48-Arabs (Arabic: عرب ٤٨, romanized: ‘Arab Thamāniya wa-Arba‘īn).

See also

References

  1. ^ "Sloane's A000165 : Double factorials". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  2. ^ "Sloane's A002182 : Highly composite numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  3. ^ "Sloane's A005835 : Pseudoperfect (or semiperfect) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  4. ^ "Sloane's A051869 : 17-gonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  5. ^ "Sloane's A097942 : Highly totient numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  6. ^ "Sloane's A005528 : Størmer numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  7. ^ "Sloane's A005349 : Niven (or Harshad) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  8. ^ "How many prophets were there and who were they? - philosophy prophecy history prophets torah the bible the prophets". Archived from the original on 2007-08-10. Retrieved 2006-07-17.
  9. ^ "Chinese Numerology: Lucky and Unlucky Numbers Meaning". My Today's Horoscope. 2019-11-09. Retrieved 2021-09-20.
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