Search a number
-
+
505087308 = 2232119671319
BaseRepresentation
bin11110000110110…
…000010101001100
31022012102002112100
4132012300111030
52013300243213
6122041435100
715342112515
oct3606602514
91265362470
10505087308
1123a121630
1212119ba90
138084683b
144b11ba0c
152e520773
hex1e1b054c

505087308 has 72 divisors (see below), whose sum is σ = 1395313920. Its totient is φ = 152782560.

The previous prime is 505087307. The next prime is 505087327. The reversal of 505087308 is 803780505.

It is a happy number.

It is a super-2 number, since 2×5050873082 = 510226377405373728, which contains 22 as substring.

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 (505087307) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 382273 + ... + 383591.

It is an arithmetic number, because the mean of its divisors is an integer number (19379360).

Almost surely, 2505087308 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 505087308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697656960).

505087308 is an abundant number, since it is smaller than the sum of its proper divisors (890226612).

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

505087308 is a wasteful number, since it uses less digits than its factorization.

505087308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 505087308 is about 22474.1475477937. The cubic root of 505087308 is about 796.3833136980.

The spelling of 505087308 in words is "five hundred five million, eighty-seven thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 967 1319 1934 2638 2901 3868 3957 5276 5802 7914 8703 10637 11604 11871 14509 15828 17406 21274 23742 29018 31911 34812 42548 43527 47484 58036 63822 87054 95733 127644 130581 174108 191466 261162 382932 522324 1275473 2550946 3826419 5101892 7652838 11479257 14030203 15305676 22958514 28060406 42090609 45917028 56120812 84181218 126271827 168362436 252543654 505087308