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313002492 = 2231123131787
BaseRepresentation
bin10010101010000…
…000100111111100
3210210222011200220
4102222000213330
51120112034432
651020421340
710520322465
oct2252004774
9723864626
10313002492
11150755450
12889a7850
134cb0119a
142d7d9d6c
151c72b72c
hex12a809fc

313002492 has 96 divisors (see below), whose sum is σ = 838785024. Its totient is φ = 89918400.

The previous prime is 313002479. The next prime is 313002509. The reversal of 313002492 is 294200313.

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 31 ways as a sum of consecutive naturals, for example, 397323 + ... + 398109.

It is an arithmetic number, because the mean of its divisors is an integer number (8737344).

Almost surely, 2313002492 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 313002492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419392512).

313002492 is an abundant number, since it is smaller than the sum of its proper divisors (525782532).

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

313002492 is a wasteful number, since it uses less digits than its factorization.

313002492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 313002492 is about 17691.8764408980. The cubic root of 313002492 is about 678.9679355384.

The spelling of 313002492 in words is "three hundred thirteen million, two thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 131 132 138 253 262 276 393 506 524 759 786 787 1012 1441 1518 1572 1574 2361 2882 3013 3036 3148 4323 4722 5764 6026 8646 8657 9039 9444 12052 17292 17314 18078 18101 25971 33143 34628 36156 36202 51942 54303 66286 72404 99429 103097 103884 108606 132572 198858 199111 206194 217212 309291 397716 398222 412388 597333 618582 796444 1134067 1194666 1237164 2268134 2371231 2389332 3402201 4536268 4742462 6804402 7113693 9484924 13608804 14227386 26083541 28454772 52167082 78250623 104334164 156501246 313002492