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564375636 = 2232118571663
BaseRepresentation
bin100001101000111…
…011000001010100
31110022222020211100
4201220323001110
52123440010021
6132000310100
716662054006
oct4150730124
91408866740
10564375636
1126a636850
12139012330
138cc048a6
1454d52376
1534832626
hex21a3b054

564375636 has 72 divisors (see below), whose sum is σ = 1559061504. Its totient is φ = 170720640.

The previous prime is 564375607. The next prime is 564375649. The reversal of 564375636 is 636573465.

564375636 is a `hidden beast` number, since 5 + 6 + 4 + 3 + 7 + 5 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 564375591 and 564375600.

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, 338541 + ... + 340203.

It is an arithmetic number, because the mean of its divisors is an integer number (21653632).

Almost surely, 2564375636 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 564375636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779530752).

564375636 is an abundant number, since it is smaller than the sum of its proper divisors (994685868).

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

564375636 is a wasteful number, since it uses less digits than its factorization.

564375636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541 (or 2536 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 45.

The square root of 564375636 is about 23756.5914221717. The cubic root of 564375636 is about 826.3983074323.

The spelling of 564375636 in words is "five hundred sixty-four million, three hundred seventy-five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 857 1663 1714 2571 3326 3428 4989 5142 6652 7713 9427 9978 10284 14967 15426 18293 18854 19956 28281 29934 30852 36586 37708 54879 56562 59868 73172 84843 109758 113124 164637 169686 219516 329274 339372 658548 1425191 2850382 4275573 5700764 8551146 12826719 15677101 17102292 25653438 31354202 47031303 51306876 62708404 94062606 141093909 188125212 282187818 564375636