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56982912 = 2737172943
BaseRepresentation
bin1101100101011…
…1110110000000
310222020000212020
43121113312000
5104041423122
65353201440
71261226640
oct331276600
9128200766
1056982912
112a190118
1217100280
13ba618cc
1477d4520
155008c5c
hex3657d80

56982912 has 256 divisors, whose sum is σ = 193881600. Its totient is φ = 14450688.

The previous prime is 56982901. The next prime is 56982931. The reversal of 56982912 is 21928965.

56982912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 1325163 + ... + 1325205.

It is an arithmetic number, because the mean of its divisors is an integer number (757350).

Almost surely, 256982912 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 56982912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96940800).

56982912 is an abundant number, since it is smaller than the sum of its proper divisors (136898688).

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

56982912 is a wasteful number, since it uses less digits than its factorization.

56982912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 101 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 56982912 is about 7548.7026699957. The cubic root of 56982912 is about 384.8116512797.

The spelling of 56982912 in words is "fifty-six million, nine hundred eighty-two thousand, nine hundred twelve".