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563347872 = 2536193141
BaseRepresentation
bin100001100101000…
…000000110100000
31110021001001000000
4201211000012200
52123204112442
6131522300000
716650243423
oct4145000640
91407031000
10563347872
11269aa465a
121387b7600
138c934b49
1454b659ba
15346ccd4c
hex219401a0

563347872 has 336 divisors, whose sum is σ = 1850929920. Its totient is φ = 167961600.

The previous prime is 563347849. The next prime is 563347909. The reversal of 563347872 is 278743365.

563347872 is a `hidden beast` number, since 5 + 633 + 4 + 7 + 8 + 7 + 2 = 666.

Its product of digits (846720) is a multiple of the sum of its prime divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13740172 + ... + 13740212.

It is an arithmetic number, because the mean of its divisors is an integer number (5508720).

Almost surely, 2563347872 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 563347872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925464960).

563347872 is an abundant number, since it is smaller than the sum of its proper divisors (1287582048).

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

563347872 is a wasteful number, since it uses less digits than its factorization.

563347872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 96 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 563347872 is about 23734.9504317999. The cubic root of 563347872 is about 825.8963612893.

The spelling of 563347872 in words is "five hundred sixty-three million, three hundred forty-seven thousand, eight hundred seventy-two".