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565605664 = 25133161719
BaseRepresentation
bin100001101101100…
…111010100100000
31110102021202002221
4201231213110200
52124243340124
6132042520424
720005366051
oct4155472440
91412252087
10565605664
112702a69a8
12139506114
1390245710
1455192728
15349c6ce4
hex21b67520

565605664 has 96 divisors (see below), whose sum is σ = 1259919360. Its totient is φ = 248140800.

The previous prime is 565605653. The next prime is 565605671. The reversal of 565605664 is 466506565.

It is a self number, because there is not a number n which added to its sum of digits gives 565605664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 786297 + ... + 787015.

It is an arithmetic number, because the mean of its divisors is an integer number (13124160).

Almost surely, 2565605664 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 565605664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629959680).

565605664 is an abundant number, since it is smaller than the sum of its proper divisors (694313696).

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

565605664 is a wasteful number, since it uses less digits than its factorization.

565605664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 43.

The square root of 565605664 is about 23782.4654735374. The cubic root of 565605664 is about 826.9982361679.

Subtracting from 565605664 its reverse (466506565), we obtain a palindrome (99099099).

The spelling of 565605664 in words is "five hundred sixty-five million, six hundred five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 61 62 104 122 124 208 244 248 403 416 488 496 719 793 806 976 992 1438 1586 1612 1891 1952 2876 3172 3224 3782 5752 6344 6448 7564 9347 11504 12688 12896 15128 18694 22289 23008 24583 25376 30256 37388 43859 44578 49166 60512 74776 87718 89156 98332 149552 175436 178312 196664 289757 299104 350872 356624 393328 570167 579514 701744 713248 786656 1140334 1159028 1359629 1403488 2280668 2318056 2719258 4561336 4636112 5438516 9122672 9272224 10877032 17675177 18245344 21754064 35350354 43508128 70700708 141401416 282802832 565605664