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563980864 = 26292771097
BaseRepresentation
bin100001100111011…
…010101001000000
31110022020012022011
4201213122221000
52123334341424
6131544022304
716655521036
oct4147325100
91408205264
10563980864
1126a397197
12138a61994
138cac6cb5
1454c8c556
15347a5694
hex219daa40

563980864 has 56 divisors (see below), whose sum is σ = 1162979640. Its totient is φ = 271036416.

The previous prime is 563980829. The next prime is 563980867. The reversal of 563980864 is 468089365.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7398400 + 556582464 = 2720^2 + 23592^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563980867) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 513564 + ... + 514660.

Almost surely, 2563980864 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 563980864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581489820).

563980864 is an abundant number, since it is smaller than the sum of its proper divisors (598998776).

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

563980864 is a wasteful number, since it uses less digits than its factorization.

563980864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The square root of 563980864 is about 23748.2812851794. The cubic root of 563980864 is about 826.2055782240.

The spelling of 563980864 in words is "five hundred sixty-three million, nine hundred eighty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 277 464 554 928 1097 1108 1856 2194 2216 4388 4432 8033 8776 8864 16066 17552 17728 31813 32132 35104 63626 64264 70208 127252 128528 254504 257056 303869 509008 514112 607738 1018016 1215476 2036032 2430952 4861904 8812201 9723808 17624402 19447616 35248804 70497608 140995216 281990432 563980864