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56552904 = 23369697
BaseRepresentation
bin1101011110111…
…0110111001000
310221102012000000
43113232313020
5103434143104
65340043000
71254456162
oct327566710
9127365000
1056552904
1129a17041
1216b33460
13b940c75
147721932
154e71639
hex35eedc8

56552904 has 56 divisors (see below), whose sum is σ = 158998710. Its totient is φ = 18849024.

The previous prime is 56552887. The next prime is 56552921. The reversal of 56552904 is 40925565.

56552904 is a `hidden beast` number, since 565 + 5 + 2 + 90 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (56552887) and next prime (56552921).

It can be written as a sum of positive squares in only one way, i.e., 54730404 + 1822500 = 7398^2 + 1350^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 984 + ... + 10680.

Almost surely, 256552904 is an apocalyptic number.

56552904 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56552904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79499355).

56552904 is an abundant number, since it is smaller than the sum of its proper divisors (102445806).

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

56552904 is an equidigital number, since it uses as much as digits as its factorization.

56552904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9721 (or 9702 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 56552904 is about 7520.1664875187. The cubic root of 56552904 is about 383.8412429679.

The spelling of 56552904 in words is "fifty-six million, five hundred fifty-two thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 9697 19394 29091 38788 58182 77576 87273 116364 174546 232728 261819 349092 523638 698184 785457 1047276 1570914 2094552 2356371 3141828 4712742 6283656 7069113 9425484 14138226 18850968 28276452 56552904