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564998616 = 2332721397127
BaseRepresentation
bin100001101011010…
…011000111011000
31110101010220101200
4201223103013120
52124114423431
6132021514200
720000260200
oct4153230730
91411126350
10564998616
1126aa21906
12139272960
1390092310
1455075400
1534906ee6
hex21ad31d8

564998616 has 288 divisors, whose sum is σ = 1951971840. Its totient is φ = 146313216.

The previous prime is 564998597. The next prime is 564998633. The reversal of 564998616 is 616899465.

It is a happy number.

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, 4448745 + ... + 4448871.

It is an arithmetic number, because the mean of its divisors is an integer number (6777680).

Almost surely, 2564998616 is an apocalyptic number.

564998616 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 564998616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975985920).

564998616 is an abundant number, since it is smaller than the sum of its proper divisors (1386973224).

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

564998616 is a wasteful number, since it uses less digits than its factorization.

564998616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 249 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 564998616 is about 23769.6995353328. The cubic root of 564998616 is about 826.7022659256.

The spelling of 564998616 in words is "five hundred sixty-four million, nine hundred ninety-eight thousand, six hundred sixteen".