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318672992 = 25114171311
BaseRepresentation
bin10010111111101…
…001000001100000
3211012122021011102
4102333221001200
51123040013432
651342133532
710616450531
oct2277510140
9735567142
10318672992
11153978810
128a8812a8
1351038201
1430474688
151ce9b962
hex12fe9060

318672992 has 96 divisors (see below), whose sum is σ = 713276928. Its totient is φ = 138880000.

The previous prime is 318672989. The next prime is 318673001. The reversal of 318672992 is 299276813.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1024517 + ... + 1024827.

It is an arithmetic number, because the mean of its divisors is an integer number (7429968).

Almost surely, 2318672992 is an apocalyptic number.

318672992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 318672992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356638464).

318672992 is an abundant number, since it is smaller than the sum of its proper divisors (394603936).

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

318672992 is a wasteful number, since it uses less digits than its factorization.

318672992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 436 counting only the distinct ones).

The product of its digits is 326592, while the sum is 47.

The square root of 318672992 is about 17851.4142857086. The cubic root of 318672992 is about 683.0435888141.

The spelling of 318672992 in words is "three hundred eighteen million, six hundred seventy-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 41 44 71 82 88 142 164 176 284 311 328 352 451 568 622 656 781 902 1136 1244 1312 1562 1804 2272 2488 2911 3124 3421 3608 4976 5822 6248 6842 7216 9952 11644 12496 12751 13684 14432 22081 23288 24992 25502 27368 32021 44162 46576 51004 54736 64042 88324 93152 102008 109472 128084 140261 176648 204016 242891 256168 280522 353296 408032 485782 512336 561044 706592 905321 971564 1024672 1122088 1810642 1943128 2244176 3621284 3886256 4488352 7242568 7772512 9958531 14485136 19917062 28970272 39834124 79668248 159336496 318672992