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56642976 = 253413412
BaseRepresentation
bin1101100000010…
…0110110100000
310221120202120000
43120010312200
5104000033401
65342020000
71255312605
oct330046640
9127522500
1056642976
1129a78785
1216b77600
13b972c70
1477466ac
154e8d186
hex3604da0

56642976 has 180 divisors, whose sum is σ = 183882006. Its totient is φ = 17003520.

The previous prime is 56642947. The next prime is 56643011. The reversal of 56642976 is 67924665.

It can be written as a sum of positive squares in 3 ways, for example, as 9363600 + 47279376 = 3060^2 + 6876^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1381516 + ... + 1381556.

Almost surely, 256642976 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 56642976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91941003).

56642976 is an abundant number, since it is smaller than the sum of its proper divisors (127239030).

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

56642976 is a wasteful number, since it uses less digits than its factorization.

56642976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 59 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 56642976 is about 7526.1528020630. The cubic root of 56642976 is about 384.0449166209.

The spelling of 56642976 in words is "fifty-six million, six hundred forty-two thousand, nine hundred seventy-six".