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563465760 = 253511138209
BaseRepresentation
bin100001100101011…
…100111000100000
31110021021000201020
4201211130320200
52123221401020
6131525005440
716651244214
oct4145347040
91407230636
10563465760
1126a075190
12138853880
138c9766c0
1454b96944
1534702c40
hex2195ce20

563465760 has 192 divisors, whose sum is σ = 2085471360. Its totient is φ = 126074880.

The previous prime is 563465759. The next prime is 563465761. The reversal of 563465760 is 67564365.

It is an interprime number because it is at equal distance from previous prime (563465759) and next prime (563465761).

It is not an unprimeable number, because it can be changed into a prime (563465761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64536 + ... + 72744.

It is an arithmetic number, because the mean of its divisors is an integer number (10861830).

Almost surely, 2563465760 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 563465760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042735680).

563465760 is an abundant number, since it is smaller than the sum of its proper divisors (1522005600).

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

563465760 is a wasteful number, since it uses less digits than its factorization.

563465760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8251 (or 8243 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The square root of 563465760 is about 23737.4337281855. The cubic root of 563465760 is about 825.9539671869.

The spelling of 563465760 in words is "five hundred sixty-three million, four hundred sixty-five thousand, seven hundred sixty".