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56465064 = 2332811967
BaseRepresentation
bin1101011101100…
…1011010101000
310221020201111200
43113121122220
5103423340224
65334124200
71253642115
oct327313250
9127221450
1056465064
1129967047
1216ab0660
13b90cca6
1476db90c
154e555c9
hex35d96a8

56465064 has 48 divisors (see below), whose sum is σ = 153273120. Its totient is φ = 18779040.

The previous prime is 56465053. The next prime is 56465111. The reversal of 56465064 is 46056465.

It is a happy number.

56465064 is a `hidden beast` number, since 5 + 646 + 5 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 57909 + ... + 58875.

It is an arithmetic number, because the mean of its divisors is an integer number (3193190).

Almost surely, 256465064 is an apocalyptic number.

It is an amenable number.

56465064 is an abundant number, since it is smaller than the sum of its proper divisors (96808056).

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

56465064 is a wasteful number, since it uses less digits than its factorization.

56465064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 56465064 is about 7514.3239216845. The cubic root of 56465064 is about 383.6424079887.

The spelling of 56465064 in words is "fifty-six million, four hundred sixty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 811 967 1622 1934 2433 2901 3244 3868 4866 5802 6488 7299 7736 8703 9732 11604 14598 17406 19464 23208 29196 34812 58392 69624 784237 1568474 2352711 3136948 4705422 6273896 7058133 9410844 14116266 18821688 28232532 56465064