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564442368 = 2837253283
BaseRepresentation
bin100001101001001…
…011010100000000
31110100002122100220
4201221023110000
52123444123433
6132001543040
716662452400
oct4151132400
91410078326
10564442368
1126a6819a6
12139044a80
138cc29089
1454d6c800
15348472b3
hex21a4b500

564442368 has 216 divisors, whose sum is σ = 1786766688. Its totient is φ = 157667328.

The previous prime is 564442357. The next prime is 564442391. The reversal of 564442368 is 863244465.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 1994355 + ... + 1994637.

It is an arithmetic number, because the mean of its divisors is an integer number (8272068).

Almost surely, 2564442368 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 564442368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893383344).

564442368 is an abundant number, since it is smaller than the sum of its proper divisors (1222324320).

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

564442368 is a wasteful number, since it uses less digits than its factorization.

564442368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 348 counting only the distinct ones).

The product of its digits is 552960, while the sum is 42.

The square root of 564442368 is about 23757.9958750733. The cubic root of 564442368 is about 826.4308773703.

The spelling of 564442368 in words is "five hundred sixty-four million, four hundred forty-two thousand, three hundred sixty-eight".