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56641608 = 23321017789
BaseRepresentation
bin1101100000010…
…0100001001000
310221120200200100
43120010201020
5104000012413
65342005400
71255305612
oct330044110
9127520610
1056641608
1129a77751
1216b76860
13b97245a
147745db2
154e8ca73
hex3604848

56641608 has 48 divisors (see below), whose sum is σ = 154943100. Its totient is φ = 18691200.

The previous prime is 56641591. The next prime is 56641639. The reversal of 56641608 is 80614665.

56641608 is a `hidden beast` number, since 5 + 6 + 6 + 41 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50381604 + 6260004 = 7098^2 + 2502^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3378 + ... + 11166.

Almost surely, 256641608 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 56641608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77471550).

56641608 is an abundant number, since it is smaller than the sum of its proper divisors (98301492).

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

56641608 is a wasteful number, since it uses less digits than its factorization.

56641608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7902 (or 7895 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 56641608 is about 7526.0619184272. The cubic root of 56641608 is about 384.0418248714.

The spelling of 56641608 in words is "fifty-six million, six hundred forty-one thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 7272 7789 15578 23367 31156 46734 62312 70101 93468 140202 186936 280404 560808 786689 1573378 2360067 3146756 4720134 6293512 7080201 9440268 14160402 18880536 28320804 56641608