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56401704 = 23332311353
BaseRepresentation
bin1101011100100…
…1111100101000
310221010111121000
43113021330220
5103414323304
65332515000
71253256312
oct327117450
9127114530
1056401704
1129923487
1216a7ba60
13b8ba1b8
1476c27b2
154e41939
hex35c9f28

56401704 has 64 divisors (see below), whose sum is σ = 163497600. Its totient is φ = 17981568.

The previous prime is 56401687. The next prime is 56401721. The reversal of 56401704 is 40710465.

56401704 is a `hidden beast` number, since 5 + 640 + 17 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (56401687) and next prime (56401721).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 709 + ... + 10644.

It is an arithmetic number, because the mean of its divisors is an integer number (2554650).

Almost surely, 256401704 is an apocalyptic number.

56401704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56401704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81748800).

56401704 is an abundant number, since it is smaller than the sum of its proper divisors (107095896).

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

56401704 is a wasteful number, since it uses less digits than its factorization.

56401704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11391 (or 11381 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 56401704 is about 7510.1067901861. The cubic root of 56401704 is about 383.4988579842.

The spelling of 56401704 in words is "fifty-six million, four hundred one thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 11353 22706 34059 45412 68118 90824 102177 136236 204354 261119 272472 306531 408708 522238 613062 783357 817416 1044476 1226124 1566714 2088952 2350071 2452248 3133428 4700142 6266856 7050213 9400284 14100426 18800568 28200852 56401704