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504905076 = 22341329221
BaseRepresentation
bin11110000110000…
…011110101110100
31022012001211120000
4132012003311310
52013223430301
6122033511300
715340423314
oct3606036564
91265054500
10504905076
1123a007725
12121112530
13807b1900
144b0b1444
152e4d6786
hex1e183d74

504905076 has 90 divisors (see below), whose sum is σ = 1429419222. Its totient is φ = 155338560.

The previous prime is 504905057. The next prime is 504905077. The reversal of 504905076 is 670509405.

504905076 is a `hidden beast` number, since 50 + 490 + 50 + 76 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 30536676 + 474368400 = 5526^2 + 21780^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 504905076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504905077) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 50146 + ... + 59366.

Almost surely, 2504905076 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 504905076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714709611).

504905076 is an abundant number, since it is smaller than the sum of its proper divisors (924514146).

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

504905076 is a wasteful number, since it uses less digits than its factorization.

504905076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9263 (or 9239 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 504905076 is about 22470.0929237064. The cubic root of 504905076 is about 796.2875256506.

The spelling of 504905076 in words is "five hundred four million, nine hundred five thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 324 338 351 468 507 676 702 1014 1053 1404 1521 2028 2106 3042 4212 4563 6084 9126 9221 13689 18252 18442 27378 27663 36884 54756 55326 82989 110652 119873 165978 239746 248967 331956 359619 479492 497934 719238 746901 995868 1078857 1438476 1493802 1558349 2157714 2987604 3116698 3236571 4315428 4675047 6233396 6473142 9350094 9709713 12946284 14025141 18700188 19419426 28050282 38838852 42075423 56100564 84150846 126226269 168301692 252452538 504905076