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56752488 = 2334136737
BaseRepresentation
bin1101100001111…
…1100101101000
310221210022210000
43120133211220
5104012034423
65344223000
71256250102
oct330374550
9127708700
1056752488
112a042a91
121700aa60
13b9b0a70
147774572
154eb0843
hex361f968

56752488 has 80 divisors (see below), whose sum is σ = 171212580. Its totient is φ = 17459712.

The previous prime is 56752481. The next prime is 56752489. The reversal of 56752488 is 88425765.

56752488 is a `hidden beast` number, since 567 + 5 + 2 + 4 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54730404 + 2022084 = 7398^2 + 1422^2 .

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 (56752481) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5056 + ... + 11792.

Almost surely, 256752488 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 56752488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85606290).

56752488 is an abundant number, since it is smaller than the sum of its proper divisors (114460092).

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

56752488 is a wasteful number, since it uses less digits than its factorization.

56752488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6768 (or 6755 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 56752488 is about 7533.4247192097. The cubic root of 56752488 is about 384.2922579781.

The spelling of 56752488 in words is "fifty-six million, seven hundred fifty-two thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 6737 8424 13474 20211 26948 40422 53896 60633 80844 87581 121266 161688 175162 181899 242532 262743 350324 363798 485064 525486 545697 700648 727596 788229 1050972 1091394 1455192 1576458 2101944 2182788 2364687 3152916 4365576 4729374 6305832 7094061 9458748 14188122 18917496 28376244 56752488