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56338760 = 2358091741
BaseRepresentation
bin1101011011101…
…0100101001000
310221000022020202
43112322211020
5103410320020
65331311332
71252604642
oct326724510
9127008222
1056338760
1129890165
1216a4b548
13b89765a
1476a7892
154e2ce75
hex35ba948

56338760 has 32 divisors (see below), whose sum is σ = 126991800. Its totient is φ = 22494720.

The previous prime is 56338757. The next prime is 56338801. The reversal of 56338760 is 6783365.

56338760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 37136836 + 19201924 = 6094^2 + 4382^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31490 + ... + 33230.

Almost surely, 256338760 is an apocalyptic number.

It is an amenable number.

56338760 is an abundant number, since it is smaller than the sum of its proper divisors (70653040).

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

56338760 is a wasteful number, since it uses less digits than its factorization.

56338760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 56338760 is about 7505.9150008510. The cubic root of 56338760 is about 383.3561439902.

The spelling of 56338760 in words is "fifty-six million, three hundred thirty-eight thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 809 1618 1741 3236 3482 4045 6472 6964 8090 8705 13928 16180 17410 32360 34820 69640 1408469 2816938 5633876 7042345 11267752 14084690 28169380 56338760