Search a number
-
+
496385604 = 2233111332141
BaseRepresentation
bin11101100101100…
…011111001000100
31021121001000001000
4131211203321010
52004033314404
6121131133300
715205131231
oct3545437104
91247030030
10496385604
11235218940
1211a2a4230
137bababc0
1449cd4788
152d8a2339
hex1d963e44

496385604 has 96 divisors (see below), whose sum is σ = 1511959680. Its totient is φ = 138844800.

The previous prime is 496385597. The next prime is 496385629. The reversal of 496385604 is 406583694.

496385604 is a `hidden beast` number, since 4 + 9 + 6 + 38 + 5 + 604 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 496385604.

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, 627 + ... + 31514.

It is an arithmetic number, because the mean of its divisors is an integer number (15749580).

Almost surely, 2496385604 is an apocalyptic number.

496385604 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496385604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755979840).

496385604 is an abundant number, since it is smaller than the sum of its proper divisors (1015574076).

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

496385604 is a wasteful number, since it uses less digits than its factorization.

496385604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32178 (or 32170 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 496385604 is about 22279.7128347742. The cubic root of 496385604 is about 791.7834003647.

The spelling of 496385604 in words is "four hundred ninety-six million, three hundred eighty-five thousand, six hundred four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 132 143 156 198 234 286 297 351 396 429 468 572 594 702 858 1188 1287 1404 1716 2574 3861 5148 7722 15444 32141 64282 96423 128564 192846 289269 353551 385692 417833 578538 707102 835666 867807 1060653 1157076 1253499 1414204 1671332 1735614 2121306 2506998 3181959 3471228 3760497 4242612 4596163 5013996 6363918 7520994 9192326 9545877 11281491 12727836 13788489 15041988 18384652 19091754 22562982 27576978 38183508 41365467 45125964 55153956 82730934 124096401 165461868 248192802 496385604