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492531340 = 22572895647
BaseRepresentation
bin11101010110110…
…110111010001100
31021022210011222111
4131112312322030
52002042000330
6120512353404
715130306300
oct3526667214
91238704874
10492531340
112330260a4
12118b45864
137b06b782
14495add00
152d39032a
hex1d5b6e8c

492531340 has 72 divisors (see below), whose sum is σ = 1216918080. Its totient is φ = 166940928.

The previous prime is 492531337. The next prime is 492531341. The reversal of 492531340 is 43135294.

492531340 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (492531341) 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 23 ways as a sum of consecutive naturals, for example, 84397 + ... + 90043.

It is an arithmetic number, because the mean of its divisors is an integer number (16901640).

Almost surely, 2492531340 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 492531340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608459040).

492531340 is an abundant number, since it is smaller than the sum of its proper divisors (724386740).

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

492531340 is a wasteful number, since it uses less digits than its factorization.

492531340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5759 (or 5750 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 492531340 is about 22193.0471093989. The cubic root of 492531340 is about 789.7287644406.

The spelling of 492531340 in words is "four hundred ninety-two million, five hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 89 98 140 178 196 245 356 445 490 623 890 980 1246 1780 2492 3115 4361 5647 6230 8722 11294 12460 17444 21805 22588 28235 39529 43610 56470 79058 87220 112940 158116 197645 276703 395290 502583 553406 790580 1005166 1106812 1383515 2010332 2512915 2767030 3518081 5025830 5534060 7036162 10051660 14072324 17590405 24626567 35180810 49253134 70361620 98506268 123132835 246265670 492531340