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56772820 = 22513218357
BaseRepresentation
bin1101100010010…
…0100011010100
310221211100200001
43120210203110
5104013212240
65344501044
71256363266
oct330444324
9127740601
1056772820
112a057295
121701a784
13b9ba0b0
14777bb36
154eb689a
hex36248d4

56772820 has 24 divisors (see below), whose sum is σ = 128394504. Its totient is φ = 20962176.

The previous prime is 56772799. The next prime is 56772827. The reversal of 56772820 is 2827765.

It can be written as a sum of positive squares in 4 ways, for example, as 11664 + 56761156 = 108^2 + 7534^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 56772820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56772827) 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 7 ways as a sum of consecutive naturals, for example, 108919 + ... + 109438.

It is an arithmetic number, because the mean of its divisors is an integer number (5349771).

Almost surely, 256772820 is an apocalyptic number.

It is an amenable number.

56772820 is an abundant number, since it is smaller than the sum of its proper divisors (71621684).

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

56772820 is a wasteful number, since it uses less digits than its factorization.

56772820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218379 (or 218377 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 56772820 is about 7534.7740510250. The cubic root of 56772820 is about 384.3381443500.

The spelling of 56772820 in words is "fifty-six million, seven hundred seventy-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 218357 436714 873428 1091785 2183570 2838641 4367140 5677282 11354564 14193205 28386410 56772820