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564112956 = 2231128315101
BaseRepresentation
bin100001100111111…
…010111000111100
31110022110220111110
4201213322320330
52123403103311
6131550522020
716656611121
oct4147727074
91408426443
10564112956
1126a477460
12138b06310
138cb42164
1454cc4748
15347ce8a6
hex219fae3c

564112956 has 48 divisors (see below), whose sum is σ = 1441093248. Its totient is φ = 170328000.

The previous prime is 564112949. The next prime is 564113029. The reversal of 564112956 is 659211465.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29806 + ... + 44906.

It is an arithmetic number, because the mean of its divisors is an integer number (30022776).

Almost surely, 2564112956 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 564112956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720546624).

564112956 is an abundant number, since it is smaller than the sum of its proper divisors (876980292).

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

564112956 is a wasteful number, since it uses less digits than its factorization.

564112956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15402 (or 15400 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 564112956 is about 23751.0622078256. The cubic root of 564112956 is about 826.2700760554.

The spelling of 564112956 in words is "five hundred sixty-four million, one hundred twelve thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 283 566 849 1132 1698 3113 3396 6226 9339 12452 15101 18678 30202 37356 45303 60404 90606 166111 181212 332222 498333 664444 996666 1993332 4273583 8547166 12820749 17094332 25641498 47009413 51282996 94018826 141028239 188037652 282056478 564112956