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56588096 = 2623371039
BaseRepresentation
bin1101011111011…
…1011101000000
310221110222021102
43113313131000
5103441304341
65340513532
71254663605
oct327673500
9127428242
1056588096
1129a40524
1216b4b8a8
13b953ca6
1477306ac
154e7bc9b
hex35f7740

56588096 has 56 divisors (see below), whose sum is σ = 120456960. Its totient is φ = 26307072.

The previous prime is 56588089. The next prime is 56588101. The reversal of 56588096 is 69088565.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 56588096.

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, 53945 + ... + 54983.

Almost surely, 256588096 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 56588096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60228480).

56588096 is an abundant number, since it is smaller than the sum of its proper divisors (63868864).

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

56588096 is a wasteful number, since it uses less digits than its factorization.

56588096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 47.

The square root of 56588096 is about 7522.5059654347. The cubic root of 56588096 is about 383.9208459536.

The spelling of 56588096 in words is "fifty-six million, five hundred eighty-eight thousand, ninety-six".

Divisors: 1 2 4 8 16 23 32 37 46 64 74 92 148 184 296 368 592 736 851 1039 1184 1472 1702 2078 2368 3404 4156 6808 8312 13616 16624 23897 27232 33248 38443 47794 54464 66496 76886 95588 153772 191176 307544 382352 615088 764704 884189 1230176 1529408 1768378 2460352 3536756 7073512 14147024 28294048 56588096