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56392920 = 23325383409
BaseRepresentation
bin1101011100011…
…1110011011000
310221010001112200
43113013303120
5103414033140
65332410200
71253221563
oct327076330
9127101480
1056392920
1129917921
1216a76960
13b8b61bc
1476bd4da
154e3e030
hex35c7cd8

56392920 has 96 divisors (see below), whose sum is σ = 184204800. Its totient is φ = 14962176.

The previous prime is 56392879. The next prime is 56392933. The reversal of 56392920 is 2929365.

56392920 is a `hidden beast` number, since 563 + 9 + 2 + 92 + 0 = 666.

It is a super-2 number, since 2×563929202 = 6360322852252800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 137676 + ... + 138084.

It is an arithmetic number, because the mean of its divisors is an integer number (1918800).

Almost surely, 256392920 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 56392920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92102400).

56392920 is an abundant number, since it is smaller than the sum of its proper divisors (127811880).

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

56392920 is a wasteful number, since it uses less digits than its factorization.

56392920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 56392920 is about 7509.5219554909. The cubic root of 56392920 is about 383.4789482497.

The spelling of 56392920 in words is "fifty-six million, three hundred ninety-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 383 409 766 818 1149 1227 1532 1636 1915 2045 2298 2454 3064 3272 3447 3681 3830 4090 4596 4908 5745 6135 6894 7362 7660 8180 9192 9816 11490 12270 13788 14724 15320 16360 17235 18405 22980 24540 27576 29448 34470 36810 45960 49080 68940 73620 137880 147240 156647 313294 469941 626588 783235 939882 1253176 1409823 1566470 1879764 2349705 2819646 3132940 3759528 4699410 5639292 6265880 7049115 9398820 11278584 14098230 18797640 28196460 56392920