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56397096 = 23327149751
BaseRepresentation
bin1101011100100…
…0110100101000
310221010021021100
43113020310220
5103414201341
65332441400
71253240010
oct327106450
9127107240
1056397096
112991aa78
1216a79260
13b8b8082
1476c0c40
154e403b6
hex35c8d28

56397096 has 96 divisors (see below), whose sum is σ = 175968000. Its totient is φ = 15984000.

The previous prime is 56397079. The next prime is 56397101. The reversal of 56397096 is 69079365.

56397096 is a `hidden beast` number, since 5 + 639 + 7 + 0 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74721 + ... + 75471.

It is an arithmetic number, because the mean of its divisors is an integer number (1833000).

Almost surely, 256397096 is an apocalyptic number.

56397096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56397096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87984000).

56397096 is an abundant number, since it is smaller than the sum of its proper divisors (119570904).

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

56397096 is a wasteful number, since it uses less digits than its factorization.

56397096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 56397096 is about 7509.7999973368. The cubic root of 56397096 is about 383.4884137911.

The spelling of 56397096 in words is "fifty-six million, three hundred ninety-seven thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 149 168 252 298 447 504 596 751 894 1043 1192 1341 1502 1788 2086 2253 2682 3004 3129 3576 4172 4506 5257 5364 6008 6258 6759 8344 9012 9387 10514 10728 12516 13518 15771 18024 18774 21028 25032 27036 31542 37548 42056 47313 54072 63084 75096 94626 111899 126168 189252 223798 335697 378504 447596 671394 783293 895192 1007091 1342788 1566586 2014182 2349879 2685576 3133172 4028364 4699758 6266344 7049637 8056728 9399516 14099274 18799032 28198548 56397096