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56576520 = 2332571113157
BaseRepresentation
bin1101011111010…
…0101000001000
310221110101101200
43113310220020
5103440422040
65340344200
71254615060
oct327645010
9127411350
1056576520
1129a32860
1216b45060
13b94b940
14772a3a0
154e78630
hex35f4a08

56576520 has 384 divisors, whose sum is σ = 248451840. Its totient is φ = 10782720.

The previous prime is 56576503. The next prime is 56576521. The reversal of 56576520 is 2567565.

56576520 is a `hidden beast` number, since 5 + 65 + 76 + 520 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (56576521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 360282 + ... + 360438.

It is an arithmetic number, because the mean of its divisors is an integer number (647010).

Almost surely, 256576520 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 56576520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124225920).

56576520 is an abundant number, since it is smaller than the sum of its proper divisors (191875320).

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

56576520 is a wasteful number, since it uses less digits than its factorization.

56576520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 56576520 is about 7521.7365016331. The cubic root of 56576520 is about 383.8946651187.

The spelling of 56576520 in words is "fifty-six million, five hundred seventy-six thousand, five hundred twenty".