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564650856 = 2332711247197
BaseRepresentation
bin100001101001111…
…110001101101000
31110100111020100200
4201221332031220
52124022311411
6132010232200
716664311260
oct4151761550
91410436320
10564650856
1126a804600
12139125660
138cc9cc43
1454dc47a0
1534888e56
hex21a7e368

564650856 has 288 divisors, whose sum is σ = 1971889920. Its totient is φ = 142813440.

The previous prime is 564650803. The next prime is 564650887. The reversal of 564650856 is 658056465.

It is a happy number.

564650856 is a `hidden beast` number, since 56 + 46 + 508 + 56 = 666.

564650856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2866150 + ... + 2866346.

It is an arithmetic number, because the mean of its divisors is an integer number (6846840).

Almost surely, 2564650856 is an apocalyptic number.

564650856 is a gapful number since it is divisible by the number (56) 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 564650856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985944960).

564650856 is an abundant number, since it is smaller than the sum of its proper divisors (1407239064).

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

564650856 is a wasteful number, since it uses less digits than its factorization.

564650856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 564650856 is about 23762.3832138109. The cubic root of 564650856 is about 826.5326177313.

The spelling of 564650856 in words is "five hundred sixty-four million, six hundred fifty thousand, eight hundred fifty-six".