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492790840 = 235192932213
BaseRepresentation
bin11101010111110…
…110010000111000
31021100021100221121
4131113312100320
52002123301330
6120522115024
715132436663
oct3527662070
91240240847
10492790840
11233193063
1211904ba74
137b12c919
144963a6da
152d3e217a
hex1d5f6438

492790840 has 64 divisors (see below), whose sum is σ = 1171648800. Its totient is φ = 186020352.

The previous prime is 492790819. The next prime is 492790841. The reversal of 492790840 is 48097294.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492790841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221574 + ... + 223786.

Almost surely, 2492790840 is an apocalyptic number.

492790840 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 492790840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585824400).

492790840 is an abundant number, since it is smaller than the sum of its proper divisors (678857960).

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

492790840 is a wasteful number, since it uses less digits than its factorization.

492790840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 492790840 is about 22198.8927651809. The cubic root of 492790840 is about 789.8674348946.

The spelling of 492790840 in words is "four hundred ninety-two million, seven hundred ninety thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 293 380 586 760 1172 1465 2213 2344 2930 4426 5567 5860 8852 11065 11134 11720 17704 22130 22268 27835 42047 44260 44536 55670 84094 88520 111340 168188 210235 222680 336376 420470 648409 840940 1296818 1681880 2593636 3242045 5187272 6484090 12319771 12968180 24639542 25936360 49279084 61598855 98558168 123197710 246395420 492790840