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56396448 = 2532593319
BaseRepresentation
bin1101011100100…
…0101010100000
310221010020101100
43113020222200
5103414141243
65332434400
71253235063
oct327105240
9127106340
1056396448
112991a539
1216a78a00
13b8b79a4
1476c08da
154e400d3
hex35c8aa0

56396448 has 72 divisors (see below), whose sum is σ = 163144800. Its totient is φ = 18474624.

The previous prime is 56396447. The next prime is 56396453. The reversal of 56396448 is 84469365.

56396448 is a `hidden beast` number, since 5 + 639 + 6 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (56396447) 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 11 ways as a sum of consecutive naturals, for example, 15333 + ... + 18651.

It is an arithmetic number, because the mean of its divisors is an integer number (2265900).

Almost surely, 256396448 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 56396448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81572400).

56396448 is an abundant number, since it is smaller than the sum of its proper divisors (106748352).

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

56396448 is a wasteful number, since it uses less digits than its factorization.

56396448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394 (or 3383 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 56396448 is about 7509.7568535872. The cubic root of 56396448 is about 383.4869450308.

The spelling of 56396448 in words is "fifty-six million, three hundred ninety-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 96 118 144 177 236 288 354 472 531 708 944 1062 1416 1888 2124 2832 3319 4248 5664 6638 8496 9957 13276 16992 19914 26552 29871 39828 53104 59742 79656 106208 119484 159312 195821 238968 318624 391642 477936 587463 783284 955872 1174926 1566568 1762389 2349852 3133136 3524778 4699704 6266272 7049556 9399408 14099112 18798816 28198224 56396448