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511 (number)

From Wikipedia, the free encyclopedia
← 510 511 512 ⊟
Cardinalfive hundred eleven
Ordinal511th
(five hundred eleventh)
Factorization7 × 73
Greek numeralΦΙΑ´
Roman numeralDXI
Binary1111111112
Ternary2002213
Senary22116
Octal7778
Duodecimal36712
Hexadecimal1FF16

511 is the natural number following 510 and preceding 512.

It is a Mersenne number, being one less than a power of 2: . 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 when .

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


Special use in computers

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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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