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495399312 = 2432171910651
BaseRepresentation
bin11101100001110…
…011000110010000
31021112011220002200
4131201303012100
52003310234222
6121054043200
715163552602
oct3541630620
91245156080
10495399312
11234704921
12119aa9500
137b833cb5
1449b19172
152d759eac
hex1d873190

495399312 has 120 divisors (see below), whose sum is σ = 1545392160. Its totient is φ = 147225600.

The previous prime is 495399299. The next prime is 495399319. The reversal of 495399312 is 213993594.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (495399319) 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, 41187 + ... + 51837.

It is an arithmetic number, because the mean of its divisors is an integer number (12878268).

Almost surely, 2495399312 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 495399312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772696080).

495399312 is an abundant number, since it is smaller than the sum of its proper divisors (1049992848).

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

495399312 is a wasteful number, since it uses less digits than its factorization.

495399312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10701 (or 10692 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The square root of 495399312 is about 22257.5675220811. The cubic root of 495399312 is about 791.2586420445.

The spelling of 495399312 in words is "four hundred ninety-five million, three hundred ninety-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 34 36 38 48 51 57 68 72 76 102 114 136 144 152 153 171 204 228 272 304 306 323 342 408 456 612 646 684 816 912 969 1224 1292 1368 1938 2448 2584 2736 2907 3876 5168 5814 7752 10651 11628 15504 21302 23256 31953 42604 46512 63906 85208 95859 127812 170416 181067 191718 202369 255624 362134 383436 404738 511248 543201 607107 724268 766872 809476 1086402 1214214 1448536 1533744 1618952 1629603 1821321 2172804 2428428 2897072 3237904 3259206 3440273 3642642 4345608 4856856 6518412 6880546 7285284 8691216 9713712 10320819 13036824 13761092 14570568 20641638 26073648 27522184 29141136 30962457 41283276 55044368 61924914 82566552 123849828 165133104 247699656 495399312