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563662080 = 28325113433
BaseRepresentation
bin100001100110001…
…100110100000000
31110021122000000100
4201212030310000
52123244141310
6131533122400
716653022452
oct4146146400
91407560010
10563662080
1126a199733
12138929400
138ca14b77
1454c082d2
1534740ec0
hex2198cd00

563662080 has 216 divisors, whose sum is σ = 1972014408. Its totient is φ = 148635648.

The previous prime is 563662061. The next prime is 563662091. The reversal of 563662080 is 80266365.

It can be written as a sum of positive squares in 4 ways, for example, as 28387584 + 535274496 = 5328^2 + 23136^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1301544 + ... + 1301976.

Almost surely, 2563662080 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 563662080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986007204).

563662080 is an abundant number, since it is smaller than the sum of its proper divisors (1408352328).

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

563662080 is a wasteful number, since it uses less digits than its factorization.

563662080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 563662080 is about 23741.5686086661. The cubic root of 563662080 is about 826.0498810034.

The spelling of 563662080 in words is "five hundred sixty-three million, six hundred sixty-two thousand, eighty".