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564205642 = 271113319091
BaseRepresentation
bin100001101000010…
…001100001001010
31110022122121122021
4201220101201022
52123414040032
6131552515054
716660445260
oct4150214112
91408577567
10564205642
1126a530060
12138b4ba8a
138cb753c0
1454d0a430
15347ec097
hex21a1184a

564205642 has 64 divisors (see below), whose sum is σ = 1173086208. Its totient is φ = 196344000.

The previous prime is 564205567. The next prime is 564205667. The reversal of 564205642 is 246502465.

It is a junction number, because it is equal to n+sod(n) for n = 564205598 and 564205607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57517 + ... + 66607.

It is an arithmetic number, because the mean of its divisors is an integer number (18329472).

Almost surely, 2564205642 is an apocalyptic number.

564205642 is an abundant number, since it is smaller than the sum of its proper divisors (608880566).

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

564205642 is a wasteful number, since it uses less digits than its factorization.

564205642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9155.

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 564205642 is about 23753.0133246289. The cubic root of 564205642 is about 826.3153267293.

The spelling of 564205642 in words is "five hundred sixty-four million, two hundred five thousand, six hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 31 62 77 91 143 154 182 217 286 341 403 434 682 806 1001 2002 2387 2821 4433 4774 5642 8866 9091 18182 31031 62062 63637 100001 118183 127274 200002 236366 281821 563642 700007 827281 1300013 1400014 1654562 1972747 2600026 3100031 3663673 3945494 6200062 7327346 9100091 18200182 21700217 25645711 40300403 43400434 51291422 80600806 282102821 564205642