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563064480 = 253351117241
BaseRepresentation
bin100001100011111…
…010111010100000
31110020111122021000
4201203322322200
52123121030410
6131512232000
716644653256
oct4143727240
91406448230
10563064480
11269920750
1213869b600
138c865b64
1454ad05d6
1534673dc0
hex218faea0

563064480 has 576 divisors, whose sum is σ = 2339487360. Its totient is φ = 125337600.

The previous prime is 563064479. The next prime is 563064529. The reversal of 563064480 is 84460365.

563064480 is a `hidden beast` number, since 5 + 6 + 3 + 0 + 644 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13733260 + ... + 13733300.

It is an arithmetic number, because the mean of its divisors is an integer number (4061610).

Almost surely, 2563064480 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 563064480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169743680).

563064480 is an abundant number, since it is smaller than the sum of its proper divisors (1776422880).

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

563064480 is a wasteful number, since it uses less digits than its factorization.

563064480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 563064480 is about 23728.9797505076. The cubic root of 563064480 is about 825.7578490775.

The spelling of 563064480 in words is "five hundred sixty-three million, sixty-four thousand, four hundred eighty".