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56257656 = 23371325759
BaseRepresentation
bin1101011010011…
…0110001111000
310220212011222220
43112212301320
5103400221111
65325444040
71252116330
oct326466170
9126764886
1056257656
1129835234
1216a10620
13b869770
1476860c0
154e13e06
hex35a6c78

56257656 has 64 divisors (see below), whose sum is σ = 173107200. Its totient is φ = 14836608.

The previous prime is 56257639. The next prime is 56257661. The reversal of 56257656 is 65675265.

It is a happy number.

It is a super-2 number, since 2×562576562 = 6329847717228672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10696 + ... + 15063.

It is an arithmetic number, because the mean of its divisors is an integer number (2704800).

Almost surely, 256257656 is an apocalyptic number.

56257656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

56257656 is an abundant number, since it is smaller than the sum of its proper divisors (116849544).

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

56257656 is a wasteful number, since it uses less digits than its factorization.

56257656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25788 (or 25784 counting only the distinct ones).

The product of its digits is 378000, while the sum is 42.

The square root of 56257656 is about 7500.5103826340. The cubic root of 56257656 is about 383.1720987119.

The spelling of 56257656 in words is "fifty-six million, two hundred fifty-seven thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 25759 51518 77277 103036 154554 180313 206072 309108 334867 360626 540939 618216 669734 721252 1004601 1081878 1339468 1442504 2009202 2163756 2344069 2678936 4018404 4327512 4688138 7032207 8036808 9376276 14064414 18752552 28128828 56257656