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56656116 = 223211173827
BaseRepresentation
bin1101100000100…
…0000011110100
310221121102120200
43120020003310
5104000443431
65342200500
71255366116
oct330100364
9127542520
1056656116
1129a87640
1216b83130
13b978c3a
14774b3b6
154e91ee6
hex36080f4

56656116 has 72 divisors (see below), whose sum is σ = 157326624. Its totient is φ = 17048640.

The previous prime is 56656079. The next prime is 56656123. The reversal of 56656116 is 61165665.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68095 + ... + 68921.

It is an arithmetic number, because the mean of its divisors is an integer number (2185092).

Almost surely, 256656116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56656116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78663312).

56656116 is an abundant number, since it is smaller than the sum of its proper divisors (100670508).

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

56656116 is a wasteful number, since it uses less digits than its factorization.

56656116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1016 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 56656116 is about 7527.0257074093. The cubic root of 56656116 is about 384.0746111532.

It can be divided in two parts, 5665 and 6116, that added together give a triangular number (11781 = T153).

The spelling of 56656116 in words is "fifty-six million, six hundred fifty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 173 198 346 396 519 692 827 1038 1557 1654 1903 2076 2481 3114 3308 3806 4962 5709 6228 7443 7612 9097 9924 11418 14886 17127 18194 22836 27291 29772 34254 36388 54582 68508 81873 109164 143071 163746 286142 327492 429213 572284 858426 1287639 1573781 1716852 2575278 3147562 4721343 5150556 6295124 9442686 14164029 18885372 28328058 56656116