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491918256 = 243217375431
BaseRepresentation
bin11101010100100…
…001001110110000
31021021122000222200
4131110201032300
52001412341011
6120451303200
715122144004
oct3524411660
91237560880
10491918256
11232747515
121188aab00
137abb56bb
1449490704
152d2bd856
hex1d5213b0

491918256 has 120 divisors (see below), whose sum is σ = 1497341664. Its totient is φ = 150128640.

The previous prime is 491918173. The next prime is 491918257. The reversal of 491918256 is 652819194.

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 (491918257) 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, 87861 + ... + 93291.

Almost surely, 2491918256 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 491918256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748670832).

491918256 is an abundant number, since it is smaller than the sum of its proper divisors (1005423408).

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

491918256 is a wasteful number, since it uses less digits than its factorization.

491918256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5499 (or 5490 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 491918256 is about 22179.2302842096. The cubic root of 491918256 is about 789.4009537602.

The spelling of 491918256 in words is "four hundred ninety-one million, nine hundred eighteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 37 48 51 68 72 74 102 111 136 144 148 153 204 222 272 296 306 333 408 444 592 612 629 666 816 888 1224 1258 1332 1776 1887 2448 2516 2664 3774 5032 5328 5431 5661 7548 10064 10862 11322 15096 16293 21724 22644 30192 32586 43448 45288 48879 65172 86896 90576 92327 97758 130344 184654 195516 200947 260688 276981 369308 391032 401894 553962 602841 738616 782064 803788 830943 1107924 1205682 1477232 1607576 1661886 1808523 2215848 2411364 3215152 3323772 3416099 3617046 4431696 4822728 6647544 6832198 7234092 9645456 10248297 13295088 13664396 14468184 20496594 27328792 28936368 30744891 40993188 54657584 61489782 81986376 122979564 163972752 245959128 491918256