Search a number
-
+
491813868 = 223713795701
BaseRepresentation
bin11101010100000…
…111101111101100
31021021102201210110
4131110013233230
52001401020433
6120445140020
715121230450
oct3524075754
91237381713
10491813868
11232686047
1211885a610
137ab7a030
1449464660
152d29c963
hex1d507bec

491813868 has 96 divisors (see below), whose sum is σ = 1430517760. Its totient is φ = 128044800.

The previous prime is 491813863. The next prime is 491813873. The reversal of 491813868 is 868318194.

It is an interprime number because it is at equal distance from previous prime (491813863) and next prime (491813873).

It is not an unprimeable number, because it can be changed into a prime (491813863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83418 + ... + 89118.

Almost surely, 2491813868 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 491813868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715258880).

491813868 is an abundant number, since it is smaller than the sum of its proper divisors (938703892).

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

491813868 is a wasteful number, since it uses less digits than its factorization.

491813868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5807 (or 5805 counting only the distinct ones).

The product of its digits is 331776, while the sum is 48.

The square root of 491813868 is about 22176.8768766028. The cubic root of 491813868 is about 789.3451112733.

The spelling of 491813868 in words is "four hundred ninety-one million, eight hundred thirteen thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 79 84 91 156 158 182 237 273 316 364 474 546 553 948 1027 1092 1106 1659 2054 2212 3081 3318 4108 5701 6162 6636 7189 11402 12324 14378 17103 21567 22804 28756 34206 39907 43134 68412 74113 79814 86268 119721 148226 159628 222339 239442 296452 444678 450379 478884 518791 889356 900758 1037582 1351137 1556373 1801516 2075164 2702274 3112746 3152653 5404548 5854927 6225492 6305306 9457959 11709854 12610612 17564781 18915918 23419708 35129562 37831836 40984489 70259124 81968978 122953467 163937956 245906934 491813868