Search a number
-
+
495961284 = 2237131313467
BaseRepresentation
bin11101100011111…
…100010011000100
31021120020102222110
4131203330103010
52003431230114
6121114101020
715201413160
oct3543742304
91246212873
10495961284
11234a59065
1211a11a770
137b99ca20
1449c23ca0
152d81b759
hex1d8fc4c4

495961284 has 96 divisors (see below), whose sum is σ = 1435585536. Its totient is φ = 129767040.

The previous prime is 495961253. The next prime is 495961303. The reversal of 495961284 is 482169594.

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, 141319 + ... + 144785.

It is an arithmetic number, because the mean of its divisors is an integer number (14954016).

Almost surely, 2495961284 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 495961284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717792768).

495961284 is an abundant number, since it is smaller than the sum of its proper divisors (939624252).

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

495961284 is a wasteful number, since it uses less digits than its factorization.

495961284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3625 (or 3623 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 495961284 is about 22270.1882344986. The cubic root of 495961284 is about 791.5577254685.

The spelling of 495961284 in words is "four hundred ninety-five million, nine hundred sixty-one thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 131 156 182 262 273 364 393 524 546 786 917 1092 1572 1703 1834 2751 3406 3467 3668 5109 5502 6812 6934 10218 10401 11004 11921 13868 20436 20802 23842 24269 35763 41604 45071 47684 48538 71526 72807 90142 97076 135213 143052 145614 180284 270426 291228 315497 454177 540852 630994 908354 946491 1261988 1362531 1816708 1892982 2725062 3179239 3785964 5450124 5904301 6358478 9537717 11808602 12716956 17712903 19075434 23617204 35425806 38150868 41330107 70851612 82660214 123990321 165320428 247980642 495961284