511 (number)

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← 510 511 512 →
100 200 300 400 500 600 700 800 900 →
Cardinal	five hundred eleven
Ordinal	511th (five hundred eleventh)
Factorization	7 × 73
Greek numeral	ΦΙΑ´
Roman numeral	DXI
Binary	1111111112
Ternary	2002213
Senary	22116
Octal	7778
Duodecimal	36712
Hexadecimal	1FF16

511 is the

.

It is a

Mersenne number

, being one less than a power of 2: ${\displaystyle 511=2^{9}-1}$. As a result, 511 is a palindromic number and a repdigit in bases 2 (111111111₂). It is also palindromic and a repdigit in base 8 (777₈).

It is a generalized heptagonal number (sequence A085787 in the OEIS), since ${\displaystyle 511={\frac {1}{2}}(5n^{2}-3n)}$ when ${\displaystyle n=-14}$.

It is a Harshad number in bases 3, 5, 7, 10, 13 and 15.

Special use in computers

The octal representation of 511 (777₈) is commonly used by Unix commands to specify a custom record separator in order to "slurp" input as a whole, rather than line-by-line (i.e. separated at newline characters).

References