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56075688 = 233219179229
BaseRepresentation
bin1101010111101…
…0010110101000
310220111221101100
43111322112220
5103323410223
65321521400
71250430654
oct325722650
9126457340
1056075688
1129720549
1216943260
13b8049a6
147639a64
154dca043
hex357a5a8

56075688 has 96 divisors (see below), whose sum is σ = 161460000. Its totient is φ = 17532288.

The previous prime is 56075681. The next prime is 56075689. The reversal of 56075688 is 88657065.

56075688 is a `hidden beast` number, since 560 + 7 + 5 + 6 + 88 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (56075681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244758 + ... + 244986.

It is an arithmetic number, because the mean of its divisors is an integer number (1681875).

Almost surely, 256075688 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 56075688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80730000).

56075688 is an abundant number, since it is smaller than the sum of its proper divisors (105384312).

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

56075688 is a wasteful number, since it uses less digits than its factorization.

56075688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 56075688 is about 7488.3701831573. The cubic root of 56075688 is about 382.7585231673.

The spelling of 56075688 in words is "fifty-six million, seventy-five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 179 228 229 342 358 456 458 537 684 687 716 916 1074 1368 1374 1432 1611 1832 2061 2148 2748 3222 3401 4122 4296 4351 5496 6444 6802 8244 8702 10203 12888 13053 13604 16488 17404 20406 26106 27208 30609 34808 39159 40812 40991 52212 61218 78318 81624 81982 104424 122436 122973 156636 163964 244872 245946 313272 327928 368919 491892 737838 778829 983784 1475676 1557658 2336487 2951352 3115316 4672974 6230632 7009461 9345948 14018922 18691896 28037844 56075688