Search a number
-
+
557626656 = 253172101199
BaseRepresentation
bin100001001111001…
…011010100100000
31102212021100222010
4201033023110200
52120223023111
6131155512520
716550514456
oct4117132440
91385240863
10557626656
11266847184
121368b8740
138b6b0a02
14540b69d6
1533e4caa6
hex213cb520

557626656 has 144 divisors (see below), whose sum is σ = 1578225600. Its totient is φ = 172339200.

The previous prime is 557626627. The next prime is 557626721. The reversal of 557626656 is 656626755.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2802045 + ... + 2802243.

It is an arithmetic number, because the mean of its divisors is an integer number (10959900).

Almost surely, 2557626656 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 557626656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789112800).

557626656 is an abundant number, since it is smaller than the sum of its proper divisors (1020598944).

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

557626656 is a wasteful number, since it uses less digits than its factorization.

557626656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 322 counting only the distinct ones).

The product of its digits is 2268000, while the sum is 48.

The square root of 557626656 is about 23614.1198438561. The cubic root of 557626656 is about 823.0909792055.

Subtracting 557626656 from its reverse (656626755), we obtain a palindrome (99000099).

The spelling of 557626656 in words is "five hundred fifty-seven million, six hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 101 102 136 199 202 204 272 289 303 398 404 408 544 578 597 606 796 808 816 867 1156 1194 1212 1592 1616 1632 1717 1734 2312 2388 2424 3184 3232 3383 3434 3468 4624 4776 4848 5151 6368 6766 6868 6936 9248 9552 9696 10149 10302 13532 13736 13872 19104 20099 20298 20604 27064 27472 27744 29189 40198 40596 41208 54128 54944 57511 58378 60297 80396 81192 82416 87567 108256 115022 116756 120594 160792 162384 164832 172533 175134 230044 233512 241188 321584 324768 341683 345066 350268 460088 467024 482376 643168 683366 690132 700536 920176 934048 964752 1025049 1366732 1380264 1401072 1840352 1929504 2050098 2733464 2760528 2802144 4100196 5466928 5521056 5808611 8200392 10933856 11617222 16400784 17425833 23234444 32801568 34851666 46468888 69703332 92937776 139406664 185875552 278813328 557626656