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56114916 = 223111353617
BaseRepresentation
bin1101011000001…
…1111011100100
310220120221012020
43112003323210
5103331134131
65322423140
71250653224
oct326037344
9126527166
1056114916
1129747a70
1216961ab0
13b8197c0
14764a084
154dd6996
hex3583ee4

56114916 has 96 divisors (see below), whose sum is σ = 156981888. Its totient is φ = 15375360.

The previous prime is 56114899. The next prime is 56114951. The reversal of 56114916 is 61941165.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90640 + ... + 91256.

It is an arithmetic number, because the mean of its divisors is an integer number (1635228).

Almost surely, 256114916 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 56114916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78490944).

56114916 is an abundant number, since it is smaller than the sum of its proper divisors (100866972).

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

56114916 is a wasteful number, since it uses less digits than its factorization.

56114916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 699 counting only the distinct ones).

The product of its digits is 6480, while the sum is 33.

The square root of 56114916 is about 7490.9889867760. The cubic root of 56114916 is about 382.8477558455.

It can be divided in two parts, 561149 and 16, that added together give a palindrome (561165).

The spelling of 56114916 in words is "fifty-six million, one hundred fourteen thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 53 66 78 106 132 143 156 159 212 286 318 429 572 583 617 636 689 858 1166 1234 1378 1716 1749 1851 2067 2332 2468 2756 3498 3702 4134 6787 6996 7404 7579 8021 8268 13574 15158 16042 20361 22737 24063 27148 30316 32084 32701 40722 45474 48126 65402 81444 88231 90948 96252 98103 130804 176462 196206 264693 352924 359711 392412 425113 529386 719422 850226 1058772 1079133 1275339 1438844 1700452 2158266 2550678 4316532 4676243 5101356 9352486 14028729 18704972 28057458 56114916