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56379060 = 223252931069
BaseRepresentation
bin1101011100010…
…0011010110100
310221002100112100
43113010122310
5103413112220
65332222100
71253133303
oct327043264
9127070470
1056379060
1129908471
1216a6a930
13b8acaba
1476b843a
154e39d90
hex35c46b4

56379060 has 72 divisors (see below), whose sum is σ = 171760680. Its totient is φ = 14969088.

The previous prime is 56378999. The next prime is 56379073. The reversal of 56379060 is 6097365.

It is a happy number.

56379060 is a `hidden beast` number, since 563 + 7 + 90 + 6 + 0 = 666.

56379060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16990884 + 39388176 = 4122^2 + 6276^2 .

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

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52206 + ... + 53274.

It is an arithmetic number, because the mean of its divisors is an integer number (2385565).

Almost surely, 256379060 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 56379060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85880340).

56379060 is an abundant number, since it is smaller than the sum of its proper divisors (115381620).

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

56379060 is a wasteful number, since it uses less digits than its factorization.

56379060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 56379060 is about 7508.5990703992. The cubic root of 56379060 is about 383.4475290945.

The spelling of 56379060 in words is "fifty-six million, three hundred seventy-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 293 586 879 1069 1172 1465 1758 2138 2637 2930 3207 3516 4276 4395 5274 5345 5860 6414 8790 9621 10548 10690 12828 13185 16035 17580 19242 21380 26370 32070 38484 48105 52740 64140 96210 192420 313217 626434 939651 1252868 1566085 1879302 2818953 3132170 3758604 4698255 5637906 6264340 9396510 11275812 14094765 18793020 28189530 56379060