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56628870 = 23517373001
BaseRepresentation
bin1101100000000…
…1011010000110
310221120001012120
43120001122012
5103444110440
65341430410
71255223514
oct330013206
9127501176
1056628870
1129a69121
1216b6b406
13b96970c
1477414b4
154e88dd0
hex3601686

56628870 has 64 divisors (see below), whose sum is σ = 147842496. Its totient is φ = 13824000.

The previous prime is 56628841. The next prime is 56628881. The reversal of 56628870 is 7882665.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17370 + ... + 20370.

It is an arithmetic number, because the mean of its divisors is an integer number (2310039).

Almost surely, 256628870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56628870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73921248).

56628870 is an abundant number, since it is smaller than the sum of its proper divisors (91213626).

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

56628870 is a wasteful number, since it uses less digits than its factorization.

56628870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3065.

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 56628870 is about 7525.2156115290. The cubic root of 56628870 is about 384.0130339543.

The spelling of 56628870 in words is "fifty-six million, six hundred twenty-eight thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 15 17 30 34 37 51 74 85 102 111 170 185 222 255 370 510 555 629 1110 1258 1887 3001 3145 3774 6002 6290 9003 9435 15005 18006 18870 30010 45015 51017 90030 102034 111037 153051 222074 255085 306102 333111 510170 555185 666222 765255 1110370 1530510 1665555 1887629 3331110 3775258 5662887 9438145 11325774 18876290 28314435 56628870