Search a number
-
+
56725056 = 2633171931
BaseRepresentation
bin1101100001100…
…0111001000000
310221201221011000
43120120321000
5104010200211
65343452000
71256104113
oct330307100
9127657130
1056725056
112a024413
1216bb7000
13b9a142b
14776857a
154ea7656
hex3618e40

56725056 has 112 divisors (see below), whose sum is σ = 176662080. Its totient is φ = 17786880.

The previous prime is 56725027. The next prime is 56725069. The reversal of 56725056 is 65052765.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 56725056.

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, 28411 + ... + 30341.

It is an arithmetic number, because the mean of its divisors is an integer number (1577340).

Almost surely, 256725056 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 56725056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88331040).

56725056 is an abundant number, since it is smaller than the sum of its proper divisors (119937024).

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

56725056 is a wasteful number, since it uses less digits than its factorization.

56725056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 56725056 is about 7531.6038132658. The cubic root of 56725056 is about 384.2303305657.

The spelling of 56725056 in words is "fifty-six million, seven hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1088 1224 1632 1728 1836 1931 2448 3264 3672 3862 4896 5793 7344 7724 9792 11586 14688 15448 17379 23172 29376 30896 32827 34758 46344 52137 61792 65654 69516 92688 98481 104274 123584 131308 139032 185376 196962 208548 262616 278064 295443 370752 393924 417096 525232 556128 590886 787848 834192 886329 1050464 1112256 1181772 1575696 1668384 1772658 2100928 2363544 3151392 3336768 3545316 4727088 6302784 7090632 9454176 14181264 18908352 28362528 56725056