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56924928 = 283231797
BaseRepresentation
bin1101100100100…
…1101100000000
310222010002022200
43121021230000
5104033044203
65352033200
71260565614
oct331115400
9128102280
1056924928
112a1505a5
1217092800
13ba413b8
1477bb344
154ee69a3
hex3649b00

56924928 has 108 divisors (see below), whose sum is σ = 169635648. Its totient is φ = 18339840.

The previous prime is 56924899. The next prime is 56924947. The reversal of 56924928 is 82942965.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71026 + ... + 71822.

Almost surely, 256924928 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 56924928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84817824).

56924928 is an abundant number, since it is smaller than the sum of its proper divisors (112710720).

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

56924928 is a wasteful number, since it uses less digits than its factorization.

56924928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 833 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 56924928 is about 7544.8610325174. The cubic root of 56924928 is about 384.6810829473.

The spelling of 56924928 in words is "fifty-six million, nine hundred twenty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 558 576 744 768 797 992 1116 1152 1488 1594 1984 2232 2304 2391 2976 3188 3968 4464 4782 5952 6376 7173 7936 8928 9564 11904 12752 14346 17856 19128 23808 24707 25504 28692 35712 38256 49414 51008 57384 71424 74121 76512 98828 102016 114768 148242 153024 197656 204032 222363 229536 296484 306048 395312 444726 459072 592968 612096 790624 889452 918144 1185936 1581248 1778904 1836288 2371872 3162496 3557808 4743744 6324992 7115616 9487488 14231232 18974976 28462464 56924928