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563707872 = 2532713137157
BaseRepresentation
bin100001100110010…
…111111111100000
31110021201022211100
4201212113333200
52123302122442
6131534114400
716653303120
oct4146277740
91407638740
10563707872
1126a220082
1213894ba00
138ca2c970
1454c1ac80
153474e84c
hex21997fe0

563707872 has 288 divisors, whose sum is σ = 2000037312. Its totient is φ = 146644992.

The previous prime is 563707867. The next prime is 563707873. The reversal of 563707872 is 278707365.

563707872 is a `hidden beast` number, since 5 + 637 + 0 + 7 + 8 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563707873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3590418 + ... + 3590574.

It is an arithmetic number, because the mean of its divisors is an integer number (6944574).

Almost surely, 2563707872 is an apocalyptic number.

563707872 is a gapful number since it is divisible by the number (52) 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 563707872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000018656).

563707872 is an abundant number, since it is smaller than the sum of its proper divisors (1436329440).

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

563707872 is a wasteful number, since it uses less digits than its factorization.

563707872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 563707872 is about 23742.5329735477. The cubic root of 563707872 is about 826.0722498736.

The spelling of 563707872 in words is "five hundred sixty-three million, seven hundred seven thousand, eight hundred seventy-two".