511 (number)
From HandWiki
Short description: Natural number
| ||||
|---|---|---|---|---|
| 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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