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56085372 = 223578243
BaseRepresentation
bin1101010111110…
…0101101111100
310220112102200000
43111330231330
5103324212442
65322034300
71250501130
oct325745574
9126472600
1056085372
1129727852
1216948990
13b809215
14763d3c0
154dccd4c
hex357cb7c

56085372 has 72 divisors (see below), whose sum is σ = 168045696. Its totient is φ = 16022448.

The previous prime is 56085353. The next prime is 56085383. The reversal of 56085372 is 27358065.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2683 + ... + 10925.

It is an arithmetic number, because the mean of its divisors is an integer number (2333968).

Almost surely, 256085372 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 56085372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84022848).

56085372 is an abundant number, since it is smaller than the sum of its proper divisors (111960324).

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

56085372 is a wasteful number, since it uses less digits than its factorization.

56085372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8269 (or 8255 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 56085372 is about 7489.0167578929. The cubic root of 56085372 is about 382.7805554141.

The spelling of 56085372 in words is "fifty-six million, eighty-five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 8243 16486 24729 32972 49458 57701 74187 98916 115402 148374 173103 222561 230804 296748 346206 445122 519309 667683 692412 890244 1038618 1335366 1557927 2003049 2077236 2670732 3115854 4006098 4673781 6231708 8012196 9347562 14021343 18695124 28042686 56085372