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56157426 = 232131719743
BaseRepresentation
bin1101011000111…
…0010011110010
310220200002111200
43112032103302
5103334014201
65323352030
71251221163
oct326162362
9126602450
1056157426
11297769a6
1216982616
13b832c60
14765b76a
154de4386
hex358e4f2

56157426 has 96 divisors (see below), whose sum is σ = 146240640. Its totient is φ = 15386112.

The previous prime is 56157419. The next prime is 56157449. The reversal of 56157426 is 62475165.

It is a happy number.

56157426 is a `hidden beast` number, since 5 + 61 + 574 + 26 = 666.

Its product of digits (50400) is a multiple of the sum of its prime factors (800).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75211 + ... + 75953.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 256157426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56157426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73120320).

56157426 is an abundant number, since it is smaller than the sum of its proper divisors (90083214).

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

56157426 is a wasteful number, since it uses less digits than its factorization.

56157426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 797 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 56157426 is about 7493.8258586653. The cubic root of 56157426 is about 382.9444072133.

It can be divided in two parts, 5615 and 7426, that added together give a triangular number (13041 = T161).

The spelling of 56157426 in words is "fifty-six million, one hundred fifty-seven thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 13 17 18 19 26 34 38 39 51 57 78 102 114 117 153 171 221 234 247 306 323 342 442 494 646 663 741 743 969 1326 1482 1486 1938 1989 2223 2229 2907 3978 4199 4446 4458 5814 6687 8398 9659 12597 12631 13374 14117 19318 25194 25262 28234 28977 37791 37893 42351 57954 75582 75786 84702 86931 113679 127053 164203 173862 183521 227358 239989 254106 328406 367042 479978 492609 550563 719967 985218 1101126 1439934 1477827 1651689 2159901 2955654 3119857 3303378 4319802 6239714 9359571 18719142 28078713 56157426