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56857860 = 223251721093
BaseRepresentation
bin1101100011100…
…1010100000100
310221222200022200
43120321110010
5104023422420
65350354500
71260166233
oct330712404
9127880280
1056857860
112a105174
121705ba30
13ba19a07
1477a0b1a
154ed1b90
hex3639504

56857860 has 108 divisors (see below), whose sum is σ = 183378468. Its totient is φ = 14257152.

The previous prime is 56857859. The next prime is 56857873. The reversal of 56857860 is 6875865.

56857860 is a `hidden beast` number, since 568 + 5 + 7 + 86 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 15872256 + 40985604 = 3984^2 + 6402^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 51474 + ... + 52566.

It is a vampire number, since it can be written as 65588670 (with its own digits).

Almost surely, 256857860 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 56857860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91689234).

56857860 is an abundant number, since it is smaller than the sum of its proper divisors (126520608).

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

56857860 is a wasteful number, since it uses less digits than its factorization.

56857860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 56857860 is about 7540.4151079367. The cubic root of 56857860 is about 384.5299486335.

The spelling of 56857860 in words is "fifty-six million, eight hundred fifty-seven thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 289 306 340 510 578 612 765 867 1020 1093 1156 1445 1530 1734 2186 2601 2890 3060 3279 3468 4335 4372 5202 5465 5780 6558 8670 9837 10404 10930 13005 13116 16395 17340 18581 19674 21860 26010 32790 37162 39348 49185 52020 55743 65580 74324 92905 98370 111486 167229 185810 196740 222972 278715 315877 334458 371620 557430 631754 668916 836145 947631 1114860 1263508 1579385 1672290 1895262 2842893 3158770 3344580 3790524 4738155 5685786 6317540 9476310 11371572 14214465 18952620 28428930 56857860