Search a number
-
+
565993164 = 2231131157881
BaseRepresentation
bin100001101111000…
…101111011001100
31110110000102122210
4201233011323030
52124343240124
6132055110420
720011601562
oct4157057314
91413012583
10565993164
11270541050
12139672410
139034cbc9
1455253a32
1534a51a29
hex21bc5ecc

565993164 has 96 divisors (see below), whose sum is σ = 1498355712. Its totient is φ = 164736000.

The previous prime is 565993159. The next prime is 565993171. The reversal of 565993164 is 461399565.

It is a happy number.

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, 642004 + ... + 642884.

It is an arithmetic number, because the mean of its divisors is an integer number (15607872).

Almost surely, 2565993164 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 565993164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749177856).

565993164 is an abundant number, since it is smaller than the sum of its proper divisors (932362548).

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

565993164 is a wasteful number, since it uses less digits than its factorization.

565993164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1085 counting only the distinct ones).

The product of its digits is 874800, while the sum is 48.

The square root of 565993164 is about 23790.6108370508. The cubic root of 565993164 is about 827.1870536199.

The spelling of 565993164 in words is "five hundred sixty-five million, nine hundred ninety-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 157 186 314 341 372 471 628 682 881 942 1023 1364 1727 1762 1884 2046 2643 3454 3524 4092 4867 5181 5286 6908 9691 9734 10362 10572 14601 19382 19468 20724 27311 29073 29202 38764 53537 54622 58146 58404 81933 107074 109244 116292 138317 160611 163866 214148 276634 300421 321222 327732 414951 553268 600842 642444 829902 901263 1201684 1521487 1659804 1802526 3042974 3605052 4287827 4564461 6085948 8575654 9128922 12863481 17151308 18257844 25726962 47166097 51453924 94332194 141498291 188664388 282996582 565993164