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56639904 = 2531913089
BaseRepresentation
bin1101100000010…
…0000110100000
310221120121100020
43120010012200
5103444434104
65341553440
71255300626
oct330040640
9127517306
1056639904
1129a76442
1216b75880
13b971749
147745516
154e8c2d9
hex36041a0

56639904 has 48 divisors (see below), whose sum is σ = 149506560. Its totient is φ = 18775040.

The previous prime is 56639879. The next prime is 56639923. The reversal of 56639904 is 40993665.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16792 + ... + 19880.

It is an arithmetic number, because the mean of its divisors is an integer number (3114720).

Almost surely, 256639904 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 56639904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74753280).

56639904 is an abundant number, since it is smaller than the sum of its proper divisors (92866656).

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

56639904 is a wasteful number, since it uses less digits than its factorization.

56639904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3293 (or 3285 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 56639904 is about 7525.9487109600. The cubic root of 56639904 is about 384.0379736752.

It can be divided in two parts, 566 and 39904, that added together give a triangular number (40470 = T284).

The spelling of 56639904 in words is "fifty-six million, six hundred thirty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 191 382 573 764 1146 1528 2292 3056 3089 4584 6112 6178 9168 9267 12356 18336 18534 24712 37068 49424 74136 98848 148272 296544 589999 1179998 1769997 2359996 3539994 4719992 7079988 9439984 14159976 18879968 28319952 56639904