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56397520 = 245893
BaseRepresentation
bin1101011100100…
…0111011010000
310221010021212001
43113020323100
5103414210040
65332443344
71253241154
oct327107320
9127107761
1056397520
1129920323
1216a79554
13b8b831a
1476c1064
154e4059a
hex35c8ed0

56397520 has 40 divisors (see below), whose sum is σ = 132614280. Its totient is φ = 22305536.

The previous prime is 56397503. The next prime is 56397521. The reversal of 56397520 is 2579365.

56397520 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 16353936 + 40043584 = 4044^2 + 6328^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 56397520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56397521) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 633636 + ... + 633724.

It is an arithmetic number, because the mean of its divisors is an integer number (3315357).

Almost surely, 256397520 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 56397520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66307140).

56397520 is an abundant number, since it is smaller than the sum of its proper divisors (76216760).

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

56397520 is an frugal number, since it uses more digits than its factorization.

56397520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 37.

The square root of 56397520 is about 7509.8282270635. The cubic root of 56397520 is about 383.4893748257.

The spelling of 56397520 in words is "fifty-six million, three hundred ninety-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 7120 7921 15842 31684 39605 63368 79210 126736 158420 316840 633680 704969 1409938 2819876 3524845 5639752 7049690 11279504 14099380 28198760 56397520