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256136512 = 264197613
BaseRepresentation
bin11110100010001…
…01010101000000
3122211222002020111
433101011111000
51011032332022
641225521104
76230060452
oct1721052500
9584862214
10256136512
11121645175
1271943194
13410b0888
14260362d2
1517747477
hexf445540

256136512 has 28 divisors (see below), whose sum is σ = 520673076. Its totient is φ = 124943360.

The previous prime is 256136449. The next prime is 256136519. The reversal of 256136512 is 215631652.

It can be written as a sum of positive squares in 2 ways, for example, as 108659776 + 147476736 = 10424^2 + 12144^2 .

It is a super-2 number, since 2×2561365122 = 131211825559052288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256136519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46183 + ... + 51430.

It is an arithmetic number, because the mean of its divisors is an integer number (18595467).

Almost surely, 2256136512 is an apocalyptic number.

It is an amenable number.

256136512 is an abundant number, since it is smaller than the sum of its proper divisors (264536564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

256136512 is an equidigital number, since it uses as much as digits as its factorization.

256136512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97666 (or 97656 counting only the distinct ones).

The product of its digits is 10800, while the sum is 31.

The square root of 256136512 is about 16004.2654314405. The cubic root of 256136512 is about 635.0732649464.

The spelling of 256136512 in words is "two hundred fifty-six million, one hundred thirty-six thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2624 97613 195226 390452 780904 1561808 3123616 4002133 6247232 8004266 16008532 32017064 64034128 128068256 256136512