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56065408 = 27731277
BaseRepresentation
bin1101010111011…
…1110110000000
310220111102021121
43111313312000
5103323043113
65321402024
71250356000
oct325676600
9126442247
1056065408
1129713853
1216939314
13b8000c9
147636000
154dc6e8d
hex3577d80

56065408 has 64 divisors (see below), whose sum is σ = 130356000. Its totient is φ = 24009216.

The previous prime is 56065393. The next prime is 56065411. The reversal of 56065408 is 80456065.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43266 + ... + 44542.

Almost surely, 256065408 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 56065408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65178000).

56065408 is an abundant number, since it is smaller than the sum of its proper divisors (74290592).

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

56065408 is an equidigital number, since it uses as much as digits as its factorization.

56065408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 56065408 is about 7487.6837540056. The cubic root of 56065408 is about 382.7351321743.

The spelling of 56065408 in words is "fifty-six million, sixty-five thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 343 392 448 686 784 896 1277 1372 1568 2554 2744 3136 5108 5488 6272 8939 10216 10976 17878 20432 21952 35756 40864 43904 62573 71512 81728 125146 143024 163456 250292 286048 438011 500584 572096 876022 1001168 1144192 1752044 2002336 3504088 4004672 7008176 8009344 14016352 28032704 56065408