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56899584 = 2113473
BaseRepresentation
bin1101100100001…
…1100000000000
310222001210120000
43121003200000
5104031241314
65351320000
71260432000
oct331034000
9128053500
1056899584
112a133555
1217080000
13ba329c1
1477b2000
154ede209
hex3643800

56899584 has 240 divisors, whose sum is σ = 198198000. Its totient is φ = 16257024.

The previous prime is 56899567. The next prime is 56899597. The reversal of 56899584 is 48599865.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

56899584 is a `hidden beast` number, since 56 + 8 + 9 + 9 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3110400) is a multiple of the sum of its prime divisors (12).

It is a self number, because there is not a number n which added to its sum of digits gives 56899584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8128509 + ... + 8128515.

It is an arithmetic number, because the mean of its divisors is an integer number (825825).

Almost surely, 256899584 is an apocalyptic number.

56899584 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 56899584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99099000).

56899584 is an abundant number, since it is smaller than the sum of its proper divisors (141298416).

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

56899584 is an frugal number, since it uses more digits than its factorization.

56899584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 12 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The square root of 56899584 is about 7543.1812917363. The cubic root of 56899584 is about 384.6239854979.

The spelling of 56899584 in words is "fifty-six million, eight hundred ninety-nine thousand, five hundred eighty-four".