Search a number
-
+
505136808 = 2332112692371
BaseRepresentation
bin11110000110111…
…100011010101000
31022012111121102200
4132012330122220
52013303334213
6122042500200
715342410031
oct3606743250
91265447380
10505136808
1123a155840
12121204660
1380863227
144b131a88
152e530273
hex1e1bc6a8

505136808 has 96 divisors (see below), whose sum is σ = 1498629600. Its totient is φ = 152438400.

The previous prime is 505136789. The next prime is 505136809. The reversal of 505136808 is 808631505.

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

It is not an unprimeable number, because it can be changed into a prime (505136809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211863 + ... + 214233.

It is an arithmetic number, because the mean of its divisors is an integer number (15610725).

Almost surely, 2505136808 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 505136808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749314800).

505136808 is an abundant number, since it is smaller than the sum of its proper divisors (993492792).

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

505136808 is a wasteful number, since it uses less digits than its factorization.

505136808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 505136808 is about 22475.2487861647. The cubic root of 505136808 is about 796.4093287953.

The spelling of 505136808 in words is "five hundred five million, one hundred thirty-six thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 269 396 538 792 807 1076 1614 2152 2371 2421 2959 3228 4742 4842 5918 6456 7113 8877 9484 9684 11836 14226 17754 18968 19368 21339 23672 26081 26631 28452 35508 42678 52162 53262 56904 71016 78243 85356 104324 106524 156486 170712 208648 213048 234729 312972 469458 625944 637799 938916 1275598 1877832 1913397 2551196 3826794 5102392 5740191 7015789 7653588 11480382 14031578 15307176 21047367 22960764 28063156 42094734 45921528 56126312 63142101 84189468 126284202 168378936 252568404 505136808