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56906352 = 24322913627
BaseRepresentation
bin1101100100010…
…1001001110000
310222002010211200
43121011021300
5104032000402
65351411200
71260460506
oct331051160
9128063750
1056906352
112a138648
1217083b00
13ba35ac9
1477b4676
154ee121c
hex3645270

56906352 has 60 divisors (see below), whose sum is σ = 164762520. Its totient is φ = 18313344.

The previous prime is 56906341. The next prime is 56906357. The reversal of 56906352 is 25360965.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56906357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2638 + ... + 10989.

It is an arithmetic number, because the mean of its divisors is an integer number (2746042).

Almost surely, 256906352 is an apocalyptic number.

It is an amenable number.

56906352 is an abundant number, since it is smaller than the sum of its proper divisors (107856168).

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

56906352 is a wasteful number, since it uses less digits than its factorization.

56906352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13670 (or 13661 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 56906352 is about 7543.6298954814. The cubic root of 56906352 is about 384.6392347713.

The spelling of 56906352 in words is "fifty-six million, nine hundred six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 13627 27254 40881 54508 81762 109016 122643 163524 218032 245286 327048 395183 490572 654096 790366 981144 1185549 1580732 1962288 2371098 3161464 3556647 4742196 6322928 7113294 9484392 14226588 18968784 28453176 56906352