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564866568 = 233372337439
BaseRepresentation
bin100001101010110…
…010111000001000
31110100220012021000
4201222302320020
52124101212233
6132015015000
716666200210
oct4152627010
91410805230
10564866568
1126a941682
1213920a460
1390047196
145503d240
15348ccd13
hex21ab2e08

564866568 has 256 divisors, whose sum is σ = 1926144000. Its totient is φ = 149859072.

The previous prime is 564866563. The next prime is 564866581. The reversal of 564866568 is 865668465.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (564866563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1286493 + ... + 1286931.

It is an arithmetic number, because the mean of its divisors is an integer number (7524000).

Almost surely, 2564866568 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 564866568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963072000).

564866568 is an abundant number, since it is smaller than the sum of its proper divisors (1361277432).

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

564866568 is a wasteful number, since it uses less digits than its factorization.

564866568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 511 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The square root of 564866568 is about 23766.9217190616. The cubic root of 564866568 is about 826.6378569853.

The spelling of 564866568 in words is "five hundred sixty-four million, eight hundred sixty-six thousand, five hundred sixty-eight".