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56893032 = 23327157719
BaseRepresentation
bin1101100100000…
…1111001101000
310222001110120100
43121001321220
5104031034112
65351225400
71260403620
oct331017150
9128043510
1056893032
112a129639
1217078260
13ba2ca21
1477ad880
154edc2dc
hex3641e68

56893032 has 96 divisors (see below), whose sum is σ = 177465600. Its totient is φ = 16129152.

The previous prime is 56893027. The next prime is 56893037. The reversal of 56893032 is 23039865.

56893032 is a `hidden beast` number, since 568 + 93 + 0 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (56893027) and next prime (56893037).

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

It is not an unprimeable number, because it can be changed into a prime (56893037) 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, 78769 + ... + 79487.

It is an arithmetic number, because the mean of its divisors is an integer number (1848600).

Almost surely, 256893032 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 56893032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88732800).

56893032 is an abundant number, since it is smaller than the sum of its proper divisors (120572568).

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

56893032 is a wasteful number, since it uses less digits than its factorization.

56893032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 56893032 is about 7542.7469797150. The cubic root of 56893032 is about 384.6092217515.

The spelling of 56893032 in words is "fifty-six million, eight hundred ninety-three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 157 168 252 314 471 504 628 719 942 1099 1256 1413 1438 1884 2157 2198 2826 2876 3297 3768 4314 4396 5033 5652 5752 6471 6594 8628 8792 9891 10066 11304 12942 13188 15099 17256 19782 20132 25884 26376 30198 39564 40264 45297 51768 60396 79128 90594 112883 120792 181188 225766 338649 362376 451532 677298 790181 903064 1015947 1354596 1580362 2031894 2370543 2709192 3160724 4063788 4741086 6321448 7111629 8127576 9482172 14223258 18964344 28446516 56893032