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563320296 = 23327111743139
BaseRepresentation
bin100001100100111…
…001010111101000
31110020222122011200
4201210321113220
52123202222141
6131521524200
716650100140
oct4144712750
91406878150
10563320296
11269a85970
121387a3660
138c925426
1454b59920
15346c4ab6
hex219395e8

563320296 has 384 divisors, whose sum is σ = 2075673600. Its totient is φ = 133539840.

The previous prime is 563320283. The next prime is 563320297. The reversal of 563320296 is 692023365.

563320296 is a `hidden beast` number, since 563 + 3 + 2 + 0 + 2 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 563320296.

It is not an unprimeable number, because it can be changed into a prime (563320297) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4052595 + ... + 4052733.

It is an arithmetic number, because the mean of its divisors is an integer number (5405400).

Almost surely, 2563320296 is an apocalyptic number.

563320296 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 563320296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037836800).

563320296 is an abundant number, since it is smaller than the sum of its proper divisors (1512353304).

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

563320296 is a wasteful number, since it uses less digits than its factorization.

563320296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 563320296 is about 23734.3695092160. The cubic root of 563320296 is about 825.8828851343.

The spelling of 563320296 in words is "five hundred sixty-three million, three hundred twenty thousand, two hundred ninety-six".