Английская Википедия:511 (number)

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Шаблон:Unreferenced Шаблон:Infobox number 511 is the natural number following 510 and preceding 512.

It is a Mersenne number, being one less than a power of 2: <math>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 Шаблон:OEIS, since <math>511=\frac{1}{2}(5n^2-3n)</math> when <math>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

Шаблон:Reflist

Шаблон:Integers

Шаблон:Num-stub