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56011648 = 277115683
BaseRepresentation
bin1101010110101…
…0101110000000
310220101200112111
43111222232000
5103314333043
65320305104
71250043160
oct325525600
9126350474
1056011648
1129687420
1216912194
13b7b17b4
1476205a0
154db609d
hex356ab80

56011648 has 64 divisors (see below), whose sum is σ = 139144320. Its totient is φ = 21818880.

The previous prime is 56011621. The next prime is 56011661. The reversal of 56011648 is 84611065.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 7015 + ... + 12697.

It is an arithmetic number, because the mean of its divisors is an integer number (2174130).

Almost surely, 256011648 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 56011648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69572160).

56011648 is an abundant number, since it is smaller than the sum of its proper divisors (83132672).

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

56011648 is a wasteful number, since it uses less digits than its factorization.

56011648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5715 (or 5703 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 56011648 is about 7484.0929978188. The cubic root of 56011648 is about 382.6127606946.

The spelling of 56011648 in words is "fifty-six million, eleven thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2464 4928 5683 9856 11366 22732 39781 45464 62513 79562 90928 125026 159124 181856 250052 318248 363712 437591 500104 636496 727424 875182 1000208 1272992 1750364 2000416 2545984 3500728 4000832 5091968 7001456 8001664 14002912 28005824 56011648