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56257470 = 23351391499
BaseRepresentation
bin1101011010011…
…0101110111110
310220212011202000
43112212232332
5103400214340
65325443130
71252115643
oct326465676
9126764660
1056257470
1129835085
1216a104a6
13b869659
147685dca
154e13d30
hex35a6bbe

56257470 has 64 divisors (see below), whose sum is σ = 151200000. Its totient is φ = 14884128.

The previous prime is 56257469. The next prime is 56257507. The reversal of 56257470 is 7475265.

56257470 is a `hidden beast` number, since 562 + 57 + 47 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36781 + ... + 38279.

It is an arithmetic number, because the mean of its divisors is an integer number (2362500).

Almost surely, 256257470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56257470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75600000).

56257470 is an abundant number, since it is smaller than the sum of its proper divisors (94942530).

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

56257470 is a wasteful number, since it uses less digits than its factorization.

56257470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 56257470 is about 7500.4979834675. The cubic root of 56257470 is about 383.1716764281.

The spelling of 56257470 in words is "fifty-six million, two hundred fifty-seven thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 139 270 278 417 695 834 1251 1390 1499 2085 2502 2998 3753 4170 4497 6255 7495 7506 8994 12510 13491 14990 18765 22485 26982 37530 40473 44970 67455 80946 134910 202365 208361 404730 416722 625083 1041805 1250166 1875249 2083610 3125415 3750498 5625747 6250830 9376245 11251494 18752490 28128735 56257470