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55662912 = 2632412357
BaseRepresentation
bin1101010001010…
…1100101000000
310212201222011100
43110111211000
5103222203122
65305014400
71244061354
oct324254500
9125658140
1055662912
1129469408
1216784400
13b6bbb46
14756d464
154d47aac
hex3515940

55662912 has 84 divisors (see below), whose sum is σ = 163508436. Its totient is φ = 18094080.

The previous prime is 55662883. The next prime is 55662961. The reversal of 55662912 is 21926655.

55662912 is a `hidden beast` number, since 5 + 566 + 2 + 91 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5875776 + 49787136 = 2424^2 + 7056^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22438 + ... + 24794.

It is an arithmetic number, because the mean of its divisors is an integer number (1946529).

Almost surely, 255662912 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 55662912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81754218).

55662912 is an abundant number, since it is smaller than the sum of its proper divisors (107845524).

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

55662912 is a wasteful number, since it uses less digits than its factorization.

55662912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2403 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 55662912 is about 7460.7581384200. The cubic root of 55662912 is about 381.8170409366.

The spelling of 55662912 in words is "fifty-five million, six hundred sixty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 192 246 288 328 369 492 576 656 738 984 1312 1476 1968 2357 2624 2952 3936 4714 5904 7071 7872 9428 11808 14142 18856 21213 23616 28284 37712 42426 56568 75424 84852 96637 113136 150848 169704 193274 226272 289911 339408 386548 452544 579822 678816 773096 869733 1159644 1357632 1546192 1739466 2319288 3092384 3478932 4638576 6184768 6957864 9277152 13915728 18554304 27831456 55662912