Search a number
-
+
56856976 = 24111731613
BaseRepresentation
bin1101100011100…
…1000110010000
310221222122002221
43120321012100
5104023410401
65350350424
71260163531
oct330710620
9127878087
1056856976
112a104540
121705b414
13ba194a7
1477a0688
154ed17a1
hex3639190

56856976 has 80 divisors (see below), whose sum is σ = 131563008. Its totient is φ = 23500800.

The previous prime is 56856973. The next prime is 56856983. The reversal of 56856976 is 67965865.

It is not an unprimeable number, because it can be changed into a prime (56856973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92446 + ... + 93058.

Almost surely, 256856976 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 56856976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65781504).

56856976 is an abundant number, since it is smaller than the sum of its proper divisors (74706032).

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

56856976 is a wasteful number, since it uses less digits than its factorization.

56856976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 674 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 52.

The square root of 56856976 is about 7540.3564902463. The cubic root of 56856976 is about 384.5279557912.

Subtracting 56856976 from its reverse (67965865), we obtain a square (11108889 = 33332).

The spelling of 56856976 in words is "fifty-six million, eight hundred fifty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 17 22 31 34 44 62 68 88 124 136 176 187 248 272 341 374 496 527 613 682 748 1054 1226 1364 1496 2108 2452 2728 2992 4216 4904 5456 5797 6743 8432 9808 10421 11594 13486 19003 20842 23188 26972 38006 41684 46376 53944 76012 83368 92752 107888 114631 152024 166736 209033 229262 304048 323051 418066 458524 646102 836132 917048 1292204 1672264 1834096 2584408 3344528 3553561 5168816 7107122 14214244 28428488 56856976