Search a number
-
+
565656564 = 2231122918713
BaseRepresentation
bin100001101101110…
…011101111110100
31110102101022221010
4201231303233310
52124302002224
6132043552220
720006000334
oct4155635764
91412338833
10565656564
11270331170
1213952b670
1390262935
14551a70c4
15349d6e29
hex21b73bf4

565656564 has 48 divisors (see below), whose sum is σ = 1446217920. Its totient is φ = 170653440.

The previous prime is 565656563. The next prime is 565656569. The reversal of 565656564 is 465656565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (565656563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20872 + ... + 39584.

It is an arithmetic number, because the mean of its divisors is an integer number (30129540).

Almost surely, 2565656564 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 565656564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723108960).

565656564 is an abundant number, since it is smaller than the sum of its proper divisors (880561356).

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

565656564 is a wasteful number, since it uses less digits than its factorization.

565656564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18960 (or 18958 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 48.

The square root of 565656564 is about 23783.5355655966. The cubic root of 565656564 is about 827.0230431729.

Subtracting from 565656564 its reverse (465656565), we obtain a palindrome (99999999).

The spelling of 565656564 in words is "five hundred sixty-five million, six hundred fifty-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 229 458 687 916 1374 2519 2748 5038 7557 10076 15114 18713 30228 37426 56139 74852 112278 205843 224556 411686 617529 823372 1235058 2470116 4285277 8570554 12855831 17141108 25711662 47138047 51423324 94276094 141414141 188552188 282828282 565656564