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56892096 = 2632432297
BaseRepresentation
bin1101100100000…
…1101011000000
310222001102021200
43121001223000
5104031021341
65351221200
71260401112
oct331015300
9128042250
1056892096
112a128968
1217077800
13ba2c481
1477ad3b2
154edbdb6
hex3641ac0

56892096 has 84 divisors (see below), whose sum is σ = 166935912. Its totient is φ = 18514944.

The previous prime is 56892091. The next prime is 56892097. The reversal of 56892096 is 69029865.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (56892091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23620 + ... + 25916.

Almost surely, 256892096 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 56892096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83467956).

56892096 is an abundant number, since it is smaller than the sum of its proper divisors (110043816).

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

56892096 is a wasteful number, since it uses less digits than its factorization.

56892096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 56892096 is about 7542.6849330991. The cubic root of 56892096 is about 384.6071125523.

The spelling of 56892096 in words is "fifty-six million, eight hundred ninety-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 129 144 172 192 258 288 344 387 516 576 688 774 1032 1376 1548 2064 2297 2752 3096 4128 4594 6192 6891 8256 9188 12384 13782 18376 20673 24768 27564 36752 41346 55128 73504 82692 98771 110256 147008 165384 197542 220512 296313 330768 395084 441024 592626 661536 790168 888939 1185252 1323072 1580336 1777878 2370504 3160672 3555756 4741008 6321344 7111512 9482016 14223024 18964032 28446048 56892096