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56973024 = 2533234761
BaseRepresentation
bin1101100101010…
…1011011100000
310222012112022000
43121111123200
5104041114044
65353044000
71261156053
oct331253340
9128175260
1056973024
112a183749
12170b6600
13ba5a264
1477d0a9a
155005d69
hex36556e0

56973024 has 192 divisors, whose sum is σ = 179988480. Its totient is φ = 17487360.

The previous prime is 56973019. The next prime is 56973041. The reversal of 56973024 is 42037965.

56973024 is a `hidden beast` number, since 569 + 73 + 0 + 24 = 666.

56973024 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 56973024.

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, 933954 + ... + 934014.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 256973024 is an apocalyptic number.

56973024 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 56973024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89994240).

56973024 is an abundant number, since it is smaller than the sum of its proper divisors (123015456).

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

56973024 is a wasteful number, since it uses less digits than its factorization.

56973024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 56973024 is about 7548.0476946029. The cubic root of 56973024 is about 384.7893917543.

The spelling of 56973024 in words is "fifty-six million, nine hundred seventy-three thousand, twenty-four".