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56780664 = 23319239521
BaseRepresentation
bin1101100010011…
…0011101111000
310221211202102120
43120212131320
5104013440124
65345001240
71256425203
oct330463570
9127752376
1056780664
112a062176
1217023220
13b9c0835
14778093a
154eb8d79
hex3626778

56780664 has 64 divisors (see below), whose sum is σ = 150336000. Its totient is φ = 17821440.

The previous prime is 56780657. The next prime is 56780729. The reversal of 56780664 is 46608765.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108724 + ... + 109244.

It is an arithmetic number, because the mean of its divisors is an integer number (2349000).

Almost surely, 256780664 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 56780664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75168000).

56780664 is an abundant number, since it is smaller than the sum of its proper divisors (93555336).

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

56780664 is a wasteful number, since it uses less digits than its factorization.

56780664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 56780664 is about 7535.2945529687. The cubic root of 56780664 is about 384.3558441904.

The spelling of 56780664 in words is "fifty-six million, seven hundred eighty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 239 456 478 521 717 956 1042 1434 1563 1912 2084 2868 3126 4168 4541 5736 6252 9082 9899 12504 13623 18164 19798 27246 29697 36328 39596 54492 59394 79192 108984 118788 124519 237576 249038 373557 498076 747114 996152 1494228 2365861 2988456 4731722 7097583 9463444 14195166 18926888 28390332 56780664