Search a number
-
+
563247360 = 28325133761
BaseRepresentation
bin100001100100100…
…111100100000000
31110020211221010100
4201210213210000
52123142403420
6131520202400
716646344404
oct4144474400
91406757110
10563247360
11269a36095
12138769400
138c8cb180
1454b3b104
15346ad190
hex21927900

563247360 has 216 divisors, whose sum is σ = 2099241144. Its totient is φ = 138608640.

The previous prime is 563247353. The next prime is 563247403. The reversal of 563247360 is 63742365.

563247360 is a `hidden beast` number, since 56 + 3 + 247 + 360 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5531904 + 557715456 = 2352^2 + 23616^2 .

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 23 ways as a sum of consecutive naturals, for example, 147880 + ... + 151640.

It is an arithmetic number, because the mean of its divisors is an integer number (9718709).

Almost surely, 2563247360 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 563247360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049620572).

563247360 is an abundant number, since it is smaller than the sum of its proper divisors (1535993784).

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

563247360 is a wasteful number, since it uses less digits than its factorization.

563247360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3801 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 563247360 is about 23732.8329535266. The cubic root of 563247360 is about 825.8472398158.

The spelling of 563247360 in words is "five hundred sixty-three million, two hundred forty-seven thousand, three hundred sixty".