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56733696 = 2123619
BaseRepresentation
bin1101100001101…
…1000000000000
310221202101000000
43120123000000
5104010434241
65344000000
71256141235
oct330330000
9127671000
1056733696
112a02a958
1217000000
13b9a5346
14776b78c
154ea9eb6
hex361b000

56733696 has 182 divisors, whose sum is σ = 179055260. Its totient is φ = 17915904.

The previous prime is 56733679. The next prime is 56733697. The reversal of 56733696 is 69633765.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 56733696 = 483 + 3843 = 2163 + 3603.

Its product of digits (612360) is a multiple of the sum of its prime divisors (24).

It is not an unprimeable number, because it can be changed into a prime (56733697) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2985975 + ... + 2985993.

Almost surely, 256733696 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 56733696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89527630).

56733696 is an abundant number, since it is smaller than the sum of its proper divisors (122321564).

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

56733696 is an frugal number, since it uses more digits than its factorization.

56733696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 24 counting only the distinct ones).

The product of its digits is 612360, while the sum is 45.

The square root of 56733696 is about 7532.1773744383. The cubic root of 56733696 is about 384.2498374160.

The spelling of 56733696 in words is "fifty-six million, seven hundred thirty-three thousand, six hundred ninety-six".