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56335616 = 28337653
BaseRepresentation
bin1101011011100…
…1110100000000
310221000010221022
43112321310000
5103410214431
65331245012
71252562531
oct326716400
9127003838
1056335616
1129888867
1216a49768
13b8960ac
1476a6688
154e2c07b
hex35b9d00

56335616 has 36 divisors (see below), whose sum is σ = 112957572. Its totient is φ = 28041216.

The previous prime is 56335577. The next prime is 56335651. The reversal of 56335616 is 61653365.

It can be written as a sum of positive squares in 2 ways, for example, as 14137600 + 42198016 = 3760^2 + 6496^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85946 + ... + 86598.

Almost surely, 256335616 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 56335616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56478786).

56335616 is an abundant number, since it is smaller than the sum of its proper divisors (56621956).

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

56335616 is an equidigital number, since it uses as much as digits as its factorization.

56335616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 992 counting only the distinct ones).

The product of its digits is 48600, while the sum is 35.

The square root of 56335616 is about 7505.7055631033. The cubic root of 56335616 is about 383.3490127592.

The spelling of 56335616 in words is "fifty-six million, three hundred thirty-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 337 653 674 1306 1348 2612 2696 5224 5392 10448 10784 20896 21568 41792 43136 83584 86272 167168 220061 440122 880244 1760488 3520976 7041952 14083904 28167808 56335616