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56198912 = 287112851
BaseRepresentation
bin1101011001100…
…0011100000000
310220202012102012
43112120130000
5103341331122
65324312052
71251453140
oct326303400
9126665365
1056198912
11297a5090
12169a2628
13b848ac3
14766c920
154e017e2
hex3598700

56198912 has 72 divisors (see below), whose sum is σ = 139907712. Its totient is φ = 21888000.

The previous prime is 56198911. The next prime is 56198917. The reversal of 56198912 is 21989165.

It is a happy number.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 56198912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56198911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18287 + ... + 21137.

Almost surely, 256198912 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 56198912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69953856).

56198912 is an abundant number, since it is smaller than the sum of its proper divisors (83708800).

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

56198912 is a wasteful number, since it uses less digits than its factorization.

56198912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885 (or 2871 counting only the distinct ones).

The product of its digits is 38880, while the sum is 41.

The square root of 56198912 is about 7496.5933596534. The cubic root of 56198912 is about 383.0386833836.

The spelling of 56198912 in words is "fifty-six million, one hundred ninety-eight thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 896 1232 1408 1792 2464 2816 2851 4928 5702 9856 11404 19712 19957 22808 31361 39914 45616 62722 79828 91232 125444 159656 182464 219527 250888 319312 364928 439054 501776 638624 729856 878108 1003552 1277248 1756216 2007104 2554496 3512432 4014208 5108992 7024864 8028416 14049728 28099456 56198912