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56851344 = 243211191889
BaseRepresentation
bin1101100011011…
…1101110010000
310221222100101100
43120313232100
5104023220334
65350304400
71260141234
oct330675620
9127870340
1056851344
112a100290
1217058100
13ba16a64
14779c5c4
154ecec99
hex3637b90

56851344 has 120 divisors (see below), whose sum is σ = 182800800. Its totient is φ = 16312320.

The previous prime is 56851337. The next prime is 56851357. The reversal of 56851344 is 44315865.

It is a happy number.

56851344 is a `hidden beast` number, since 568 + 51 + 3 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56851299 and 56851308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29152 + ... + 31040.

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

Almost surely, 256851344 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 56851344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91400400).

56851344 is an abundant number, since it is smaller than the sum of its proper divisors (125949456).

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

56851344 is a wasteful number, since it uses less digits than its factorization.

56851344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933 (or 1924 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 56851344 is about 7539.9830238536. The cubic root of 56851344 is about 384.5152588271.

The spelling of 56851344 in words is "fifty-six million, eight hundred fifty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 33 36 38 44 48 57 66 72 76 88 99 114 132 144 152 171 176 198 209 228 264 304 342 396 418 456 528 627 684 792 836 912 1254 1368 1584 1672 1881 1889 2508 2736 3344 3762 3778 5016 5667 7524 7556 10032 11334 15048 15112 17001 20779 22668 30096 30224 34002 35891 41558 45336 62337 68004 71782 83116 90672 107673 124674 136008 143564 166232 187011 215346 249348 272016 287128 323019 332464 374022 394801 430692 498696 574256 646038 748044 789602 861384 997392 1184403 1292076 1496088 1579204 1722768 2368806 2584152 2992176 3158408 3553209 4737612 5168304 6316816 7106418 9475224 14212836 18950448 28425672 56851344