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56572096 = 267197641
BaseRepresentation
bin1101011111001…
…1100011000000
310221110011022211
43113303203000
5103440301341
65340311504
71254566140
oct327634300
9127404284
1056572096
1129a2a4a9
1216b42594
13b949919
147728920
154e77181
hex35f38c0

56572096 has 56 divisors (see below), whose sum is σ = 129149856. Its totient is φ = 24084480.

The previous prime is 56572081. The next prime is 56572097. The reversal of 56572096 is 69027565.

56572096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (56572097) 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, 87936 + ... + 88576.

Almost surely, 256572096 is an apocalyptic number.

56572096 is a gapful number since it is divisible by the number (56) 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 56572096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64574928).

56572096 is an abundant number, since it is smaller than the sum of its proper divisors (72577760).

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

56572096 is a wasteful number, since it uses less digits than its factorization.

56572096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 40.

The square root of 56572096 is about 7521.4424148563. The cubic root of 56572096 is about 383.8846586456.

The spelling of 56572096 in words is "fifty-six million, five hundred seventy-two thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 197 224 394 448 641 788 1282 1379 1576 2564 2758 3152 4487 5128 5516 6304 8974 10256 11032 12608 17948 20512 22064 35896 41024 44128 71792 88256 126277 143584 252554 287168 505108 883939 1010216 1767878 2020432 3535756 4040864 7071512 8081728 14143024 28286048 56572096