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56788680 = 23351359617
BaseRepresentation
bin1101100010100…
…0011011001000
310221212011102110
43120220123020
5104014214210
65345102320
71256460444
oct330503310
9127764373
1056788680
112a0681a3
12170279a0
13b9c4390
147783824
154ebb420
hex36286c8

56788680 has 128 divisors (see below), whose sum is σ = 186883200. Its totient is φ = 13719552.

The previous prime is 56788661. The next prime is 56788691. The reversal of 56788680 is 8688765.

It is a happy number.

It is a super-2 number, since 2×567886802 = 6449908352284800, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 91732 + ... + 92348.

It is an arithmetic number, because the mean of its divisors is an integer number (1460025).

Almost surely, 256788680 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 56788680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93441600).

56788680 is an abundant number, since it is smaller than the sum of its proper divisors (130094520).

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

56788680 is a wasteful number, since it uses less digits than its factorization.

56788680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The square root of 56788680 is about 7535.8264311222. The cubic root of 56788680 is about 384.3739304617.

The spelling of 56788680 in words is "fifty-six million, seven hundred eighty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 59 60 65 78 104 118 120 130 156 177 195 236 260 295 312 354 390 472 520 590 617 708 767 780 885 1180 1234 1416 1534 1560 1770 1851 2301 2360 2468 3068 3085 3540 3702 3835 4602 4936 6136 6170 7080 7404 7670 8021 9204 9255 11505 12340 14808 15340 16042 18408 18510 23010 24063 24680 30680 32084 36403 37020 40105 46020 48126 64168 72806 74040 80210 92040 96252 109209 120315 145612 160420 182015 192504 218418 240630 291224 320840 364030 436836 473239 481260 546045 728060 873672 946478 962520 1092090 1419717 1456120 1892956 2184180 2366195 2839434 3785912 4368360 4732390 5678868 7098585 9464780 11357736 14197170 18929560 28394340 56788680