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564413568 = 27311511277
BaseRepresentation
bin100001101001000…
…100010010000000
31110100001011212020
4201221010102000
52123442213233
6132001201440
716662302415
oct4151042200
91410034766
10564413568
1126a6622a4
12139030280
138cc18c34
1454d6210c
153483d9b3
hex21a44480

564413568 has 64 divisors (see below), whose sum is σ = 1501701120. Its totient is φ = 187827200.

The previous prime is 564413539. The next prime is 564413569. The reversal of 564413568 is 865314465.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (564413569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 441346 + ... + 442622.

It is an arithmetic number, because the mean of its divisors is an integer number (23464080).

Almost surely, 2564413568 is an apocalyptic number.

It is an amenable number.

564413568 is an abundant number, since it is smaller than the sum of its proper divisors (937287552).

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

564413568 is a wasteful number, since it uses less digits than its factorization.

564413568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445 (or 2433 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 564413568 is about 23757.3897556108. The cubic root of 564413568 is about 826.4168212473.

The spelling of 564413568 in words is "five hundred sixty-four million, four hundred thirteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1151 1277 2302 2554 3453 3831 4604 5108 6906 7662 9208 10216 13812 15324 18416 20432 27624 30648 36832 40864 55248 61296 73664 81728 110496 122592 147328 163456 220992 245184 441984 490368 1469827 2939654 4409481 5879308 8818962 11758616 17637924 23517232 35275848 47034464 70551696 94068928 141103392 188137856 282206784 564413568