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256634112 = 283747737
BaseRepresentation
bin11110100101111…
…10110100000000
3122212220100211010
433102332310000
51011144242422
641244320520
76234232260
oct1722766400
9585810733
10256634112
11121955009
1271b43140
1341226207
14261257a0
15177e4b0c
hexf4bed00

256634112 has 72 divisors (see below), whose sum is σ = 780611776. Its totient is φ = 73322496.

The previous prime is 256634111. The next prime is 256634113. The reversal of 256634112 is 211436652.

256634112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (256634111) and next prime (256634113).

It is a super-2 number, since 2×2566341122 = 131722134884057088, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 256634112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256634111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18493 + ... + 29244.

Almost surely, 2256634112 is an apocalyptic number.

It is an amenable number.

256634112 is an abundant number, since it is smaller than the sum of its proper divisors (523977664).

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

256634112 is an equidigital number, since it uses as much as digits as its factorization.

256634112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47763 (or 47749 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 256634112 is about 16019.8037441162. The cubic root of 256634112 is about 635.4842541674.

The spelling of 256634112 in words is "two hundred fifty-six million, six hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 47737 95474 143211 190948 286422 334159 381896 572844 668318 763792 1002477 1145688 1336636 1527584 2004954 2291376 2673272 3055168 4009908 4582752 5346544 6110336 8019816 9165504 10693088 12220672 16039632 18331008 21386176 32079264 36662016 42772352 64158528 85544704 128317056 256634112