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56530656 = 2533713719
BaseRepresentation
bin1101011110100…
…1011011100000
310221101001111000
43113221123200
5103432440111
65335352000
71254334260
oct327513340
9127331430
1056530656
1129a01356
1216b22600
13b933ac0
1477177a0
154e69c56
hex35e96e0

56530656 has 192 divisors, whose sum is σ = 203212800. Its totient is φ = 14888448.

The previous prime is 56530651. The next prime is 56530667. The reversal of 56530656 is 65603565.

It is a happy number.

56530656 is a `hidden beast` number, since 565 + 30 + 65 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 56530656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56530651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78265 + ... + 78983.

It is an arithmetic number, because the mean of its divisors is an integer number (1058400).

Almost surely, 256530656 is an apocalyptic number.

56530656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56530656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101606400).

56530656 is an abundant number, since it is smaller than the sum of its proper divisors (146682144).

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

56530656 is a wasteful number, since it uses less digits than its factorization.

56530656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 56530656 is about 7518.6871194378. The cubic root of 56530656 is about 383.7909017861.

The spelling of 56530656 in words is "fifty-six million, five hundred thirty thousand, six hundred fifty-six".