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55765728 = 2532227853
BaseRepresentation
bin1101010010111…
…0101011100000
310212221012012100
43110232223200
5103234000403
65311130400
71245000204
oct324565340
9125835170
1055765728
1129529687
1216813a00
13b726895
147598b04
154d682a3
hex352eae0

55765728 has 72 divisors (see below), whose sum is σ = 159469128. Its totient is φ = 18484992.

The previous prime is 55765693. The next prime is 55765747. The reversal of 55765728 is 82756755.

55765728 is a `hidden beast` number, since 5 + 5 + 76 + 572 + 8 = 666.

55765728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64950 + ... + 65802.

It is an arithmetic number, because the mean of its divisors is an integer number (2214849).

Almost surely, 255765728 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 55765728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79734564).

55765728 is an abundant number, since it is smaller than the sum of its proper divisors (103703400).

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

55765728 is a wasteful number, since it uses less digits than its factorization.

55765728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1085 counting only the distinct ones).

The product of its digits is 588000, while the sum is 45.

The square root of 55765728 is about 7467.6454120425. The cubic root of 55765728 is about 382.0519834595.

The spelling of 55765728 in words is "fifty-five million, seven hundred sixty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 227 288 454 681 853 908 1362 1706 1816 2043 2559 2724 3412 3632 4086 5118 5448 6824 7264 7677 8172 10236 10896 13648 15354 16344 20472 21792 27296 30708 32688 40944 61416 65376 81888 122832 193631 245664 387262 580893 774524 1161786 1549048 1742679 2323572 3098096 3485358 4647144 6196192 6970716 9294288 13941432 18588576 27882864 55765728