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56784096 = 2532712777
BaseRepresentation
bin1101100010011…
…1010011100000
310221211221010200
43120213103200
5104014042341
65345025200
71256441205
oct330472340
9127757120
1056784096
112a064806
1217025200
13b9c2275
147781cac
154eb9db6
hex36274e0

56784096 has 72 divisors (see below), whose sum is σ = 163813104. Its totient is φ = 18654720.

The previous prime is 56784089. The next prime is 56784149. The reversal of 56784096 is 69048765.

56784096 is a `hidden beast` number, since 567 + 84 + 0 + 9 + 6 = 666.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19060 + ... + 21836.

It is an arithmetic number, because the mean of its divisors is an integer number (2275182).

Almost surely, 256784096 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 56784096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81906552).

56784096 is an abundant number, since it is smaller than the sum of its proper divisors (107029008).

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

56784096 is a wasteful number, since it uses less digits than its factorization.

56784096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 56784096 is about 7535.5222778517. The cubic root of 56784096 is about 384.3635879221.

The spelling of 56784096 in words is "fifty-six million, seven hundred eighty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 568 639 852 1136 1278 1704 2272 2556 2777 3408 5112 5554 6816 8331 10224 11108 16662 20448 22216 24993 33324 44432 49986 66648 88864 99972 133296 197167 199944 266592 394334 399888 591501 788668 799776 1183002 1577336 1774503 2366004 3154672 3549006 4732008 6309344 7098012 9464016 14196024 18928032 28392048 56784096