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56857216 = 271347727
BaseRepresentation
bin1101100011100…
…1001010000000
310221222122102211
43120321022000
5104023412331
65350351504
71260164323
oct330711200
9127878384
1056857216
112a104739
121705b594
13ba19630
1477a07ba
154ed18b1
hex3639280

56857216 has 64 divisors (see below), whose sum is σ = 124750080. Its totient is φ = 25648128.

The previous prime is 56857189. The next prime is 56857217. The reversal of 56857216 is 61275865.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×568572162 = 6465486022541312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56857217) 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, 77845 + ... + 78571.

It is an arithmetic number, because the mean of its divisors is an integer number (1949220).

Almost surely, 256857216 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 56857216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62375040).

56857216 is an abundant number, since it is smaller than the sum of its proper divisors (67892864).

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

56857216 is a wasteful number, since it uses less digits than its factorization.

56857216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 789 counting only the distinct ones).

The product of its digits is 100800, while the sum is 40.

The square root of 56857216 is about 7540.3724045965. The cubic root of 56857216 is about 384.5284968364.

The spelling of 56857216 in words is "fifty-six million, eight hundred fifty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 128 188 208 376 416 611 727 752 832 1222 1454 1504 1664 2444 2908 3008 4888 5816 6016 9451 9776 11632 18902 19552 23264 34169 37804 39104 46528 68338 75608 78208 93056 136676 151216 273352 302432 444197 546704 604864 888394 1093408 1209728 1776788 2186816 3553576 4373632 7107152 14214304 28428608 56857216