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56739880 = 23517181461
BaseRepresentation
bin1101100001110…
…0100000101000
310221202200111001
43120130200220
5104011134010
65344044344
71256165251
oct330344050
9127680431
1056739880
112a03456a
12170036b4
13b9a80c2
14776db28
154eabc3a
hex361c828

56739880 has 64 divisors (see below), whose sum is σ = 136216080. Its totient is φ = 21196800.

The previous prime is 56739869. The next prime is 56739913. The reversal of 56739880 is 8893765.

It can be written as a sum of positive squares in 8 ways, for example, as 9872164 + 46867716 = 3142^2 + 6846^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 56739880.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122850 + ... + 123310.

Almost surely, 256739880 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 56739880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68108040).

56739880 is an abundant number, since it is smaller than the sum of its proper divisors (79476200).

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

56739880 is a wasteful number, since it uses less digits than its factorization.

56739880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 56739880 is about 7532.5878687208. The cubic root of 56739880 is about 384.2637980474.

It can be divided in two parts, 56 and 739880, that added together give a triangular number (739936 = T1216).

The spelling of 56739880 in words is "fifty-six million, seven hundred thirty-nine thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 181 340 362 461 680 724 905 922 1448 1810 1844 2305 3077 3620 3688 4610 6154 7240 7837 9220 12308 15385 15674 18440 24616 30770 31348 39185 61540 62696 78370 83441 123080 156740 166882 313480 333764 417205 667528 834410 1418497 1668820 2836994 3337640 5673988 7092485 11347976 14184970 28369940 56739880