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492349320 = 233354111119
BaseRepresentation
bin11101010110001…
…010011110001000
31021022102221022000
4131112022132020
52002020134240
6120504431000
715125620521
oct3526123610
91238387260
10492349320
11232a11371
12118a78460
137b006978
1449563848
152d356430
hex1d58a788

492349320 has 128 divisors (see below), whose sum is σ = 1681344000. Its totient is φ = 128079360.

The previous prime is 492349309. The next prime is 492349357. The reversal of 492349320 is 23943294.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 38721 + ... + 49839.

It is an arithmetic number, because the mean of its divisors is an integer number (13135500).

Almost surely, 2492349320 is an apocalyptic number.

492349320 is a gapful number since it is divisible by the number (40) 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 492349320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840672000).

492349320 is an abundant number, since it is smaller than the sum of its proper divisors (1188994680).

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

492349320 is a wasteful number, since it uses less digits than its factorization.

492349320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11180 (or 11170 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 492349320 is about 22188.9458965495. The cubic root of 492349320 is about 789.6314683369.

The spelling of 492349320 in words is "four hundred ninety-two million, three hundred forty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 41 45 54 60 72 82 90 108 120 123 135 164 180 205 216 246 270 328 360 369 410 492 540 615 738 820 984 1080 1107 1230 1476 1640 1845 2214 2460 2952 3690 4428 4920 5535 7380 8856 11070 11119 14760 22140 22238 33357 44280 44476 55595 66714 88952 100071 111190 133428 166785 200142 222380 266856 300213 333570 400284 444760 455879 500355 600426 667140 800568 911758 1000710 1200852 1334280 1367637 1501065 1823516 2001420 2279395 2401704 2735274 3002130 3647032 4002840 4102911 4558790 5470548 6004260 6838185 8205822 9117580 10941096 12008520 12308733 13676370 16411644 18235160 20514555 24617466 27352740 32823288 41029110 49234932 54705480 61543665 82058220 98469864 123087330 164116440 246174660 492349320