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56785280 = 275831069
BaseRepresentation
bin1101100010011…
…1100110000000
310221211222202112
43120213212000
5104014112110
65345034452
71256444516
oct330474600
9127758675
1056785280
112a065692
1217025a28
13b9c2976
1477824b6
154eba405
hex3627980

56785280 has 64 divisors (see below), whose sum is σ = 137516400. Its totient is φ = 22419456.

The previous prime is 56785231. The next prime is 56785283. The reversal of 56785280 is 8258765.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56785283) 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, 52586 + ... + 53654.

Almost surely, 256785280 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 56785280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68758200).

56785280 is an abundant number, since it is smaller than the sum of its proper divisors (80731120).

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

56785280 is a wasteful number, since it uses less digits than its factorization.

56785280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 41.

The square root of 56785280 is about 7535.6008386857. The cubic root of 56785280 is about 384.3662593469.

The spelling of 56785280 in words is "fifty-six million, seven hundred eighty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 320 332 415 640 664 830 1069 1328 1660 2138 2656 3320 4276 5312 5345 6640 8552 10624 10690 13280 17104 21380 26560 34208 42760 53120 68416 85520 88727 136832 171040 177454 342080 354908 443635 684160 709816 887270 1419632 1774540 2839264 3549080 5678528 7098160 11357056 14196320 28392640 56785280