511 (number)

Short description: Natural number

| <- 510 | 511 |  512 ->

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List of numbers — Integers

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Cardinal| five hundred eleven
Ordinal| 511th
(five hundred eleventh)
Factorization| 7 × 73
Greek numeral| ΦΙΑ´
Roman numeral| DXI
Binary| 1111111112
Ternary| 2002213
Quaternary| 133334
Quinary| 40215
Senary| 22116
Octal| 7778
Duodecimal| 36712
Hexadecimal| 1FF16
Vigesimal| 15B20
Base 36| E736

511 is the natural number following 510 and preceding 512.

It is a Mersenne number, being one less than a power of 2: [math]\displaystyle{ 511=2^9-1 }[/math]. 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 [math]\displaystyle{ 511=\frac{1}{2}(5n^2-3n) }[/math] when [math]\displaystyle{ n=-14 }[/math].

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

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