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56057148 = 223271811229
BaseRepresentation
bin1101010111010…
…1110100111100
310220110222221200
43111311310330
5103322312043
65321255500
71250322630
oct325656474
9126428850
1056057148
1129708624
1216934590
13b7c9414
147632dc0
154dc47d3
hex3575d3c

56057148 has 72 divisors (see below), whose sum is σ = 162970080. Its totient is φ = 15914880.

The previous prime is 56057147. The next prime is 56057159. The reversal of 56057148 is 84175065.

56057148 is a `hidden beast` number, since 5 + 605 + 7 + 1 + 48 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56057147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44998 + ... + 46226.

Almost surely, 256057148 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 56057148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81485040).

56057148 is an abundant number, since it is smaller than the sum of its proper divisors (106912932).

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

56057148 is a wasteful number, since it uses less digits than its factorization.

56057148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 56057148 is about 7487.1321612484. The cubic root of 56057148 is about 382.7163353940.

The spelling of 56057148 in words is "fifty-six million, fifty-seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 181 252 362 543 724 1086 1229 1267 1629 2172 2458 2534 3258 3687 3801 4916 5068 6516 7374 7602 8603 11061 11403 14748 15204 17206 22122 22806 25809 34412 44244 45612 51618 77427 103236 154854 222449 309708 444898 667347 889796 1334694 1557143 2002041 2669388 3114286 4004082 4671429 6228572 8008164 9342858 14014287 18685716 28028574 56057148