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56496264 = 233111731237
BaseRepresentation
bin1101011110000…
…1000010001000
310221022022022020
43113201002020
5103430340024
65334524440
71254132066
oct327410210
9127268266
1056496264
1129988530
1216b06720
13b921256
147709036
154e5e979
hex35e1088

56496264 has 64 divisors (see below), whose sum is σ = 155096640. Its totient is φ = 17007360.

The previous prime is 56496247. The next prime is 56496277. The reversal of 56496264 is 46269465.

It is a super-3 number, since 3×564962643 (a number of 24 digits) contains 333 as substring.

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, 45054 + ... + 46290.

It is an arithmetic number, because the mean of its divisors is an integer number (2423385).

Almost surely, 256496264 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 56496264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77548320).

56496264 is an abundant number, since it is smaller than the sum of its proper divisors (98600376).

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

56496264 is a wasteful number, since it uses less digits than its factorization.

56496264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1426 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 56496264 is about 7516.3996700548. The cubic root of 56496264 is about 383.7130560339.

The spelling of 56496264 in words is "fifty-six million, four hundred ninety-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 173 264 346 519 692 1038 1237 1384 1903 2076 2474 3711 3806 4152 4948 5709 7422 7612 9896 11418 13607 14844 15224 22836 27214 29688 40821 45672 54428 81642 108856 163284 214001 326568 428002 642003 856004 1284006 1712008 2354011 2568012 4708022 5136024 7062033 9416044 14124066 18832088 28248132 56496264