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56755116 = 223211251571
BaseRepresentation
bin1101100010000…
…0001110101100
310221210110101100
43120200032230
5104012130431
65344243100
71256260545
oct330401654
9127713340
1056755116
112a044a60
1217010490
13b9b2012
1477754cc
154eb14e6
hex36203ac

56755116 has 72 divisors (see below), whose sum is σ = 157405248. Its totient is φ = 17100000.

The previous prime is 56755087. The next prime is 56755123. The reversal of 56755116 is 61155765.

It is a super-2 number, since 2×567551162 = 6442286384346912, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 99111 + ... + 99681.

It is an arithmetic number, because the mean of its divisors is an integer number (2186184).

Almost surely, 256755116 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 56755116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78702624).

56755116 is an abundant number, since it is smaller than the sum of its proper divisors (100650132).

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

56755116 is a wasteful number, since it uses less digits than its factorization.

56755116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 838 counting only the distinct ones).

The product of its digits is 31500, while the sum is 36.

The square root of 56755116 is about 7533.5991398534. The cubic root of 56755116 is about 384.2981896092.

The spelling of 56755116 in words is "fifty-six million, seven hundred fifty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 251 396 502 571 753 1004 1142 1506 1713 2259 2284 2761 3012 3426 4518 5139 5522 6281 6852 8283 9036 10278 11044 12562 16566 18843 20556 24849 25124 33132 37686 49698 56529 75372 99396 113058 143321 226116 286642 429963 573284 859926 1289889 1576531 1719852 2579778 3153062 4729593 5159556 6306124 9459186 14188779 18918372 28377558 56755116