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56963088 = 2435721323
BaseRepresentation
bin1101100101001…
…1000000010000
310222012000200000
43121103000100
5104040304323
65352530000
71261115100
oct331230020
9128160600
1056963088
112a177236
12170b0900
13ba55890
1477cb200
155002e43
hex3653010

56963088 has 360 divisors, whose sum is σ = 216111168. Its totient is φ = 14370048.

The previous prime is 56963051. The next prime is 56963099. The reversal of 56963088 is 88036965.

56963088 is a `hidden beast` number, since 5 + 6 + 9 + 630 + 8 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2476645 + ... + 2476667.

Almost surely, 256963088 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 56963088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108055584).

56963088 is an abundant number, since it is smaller than the sum of its proper divisors (159148080).

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

56963088 is a wasteful number, since it uses less digits than its factorization.

56963088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 56963088 is about 7547.3894824635. The cubic root of 56963088 is about 384.7670215786.

The spelling of 56963088 in words is "fifty-six million, nine hundred sixty-three thousand, eighty-eight".