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492791985 = 3357643811
BaseRepresentation
bin11101010111110…
…110100010110001
31021100021102112000
4131113312202301
52002123320420
6120522124213
715132443220
oct3527664261
91240242460
10492791985
11233193a04
12119050669
137b1302ba
144963acb7
152d3e2690
hex1d5f68b1

492791985 has 64 divisors (see below), whose sum is σ = 1004021760. Its totient is φ = 224648640.

The previous prime is 492791963. The next prime is 492791993. The reversal of 492791985 is 589197294.

492791985 is a `hidden beast` number, since 492 + 79 + 1 + 9 + 85 = 666.

It is not a de Polignac number, because 492791985 - 25 = 492791953 is a prime.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 607230 + ... + 608040.

It is an arithmetic number, because the mean of its divisors is an integer number (15687840).

Almost surely, 2492791985 is an apocalyptic number.

492791985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

492791985 is an abundant number, since it is smaller than the sum of its proper divisors (511229775).

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

492791985 is a wasteful number, since it uses less digits than its factorization.

492791985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1469 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 492791985 is about 22198.9185547405. The cubic root of 492791985 is about 789.8680466467.

The spelling of 492791985 in words is "four hundred ninety-two million, seven hundred ninety-one thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 643 811 945 1929 2433 3215 4055 4501 5677 5787 7299 9645 12165 13503 17031 17361 21897 22505 28385 28935 36495 40509 51093 67515 85155 86805 109485 121527 153279 202545 255465 521473 607635 766395 1564419 2607365 3650311 4693257 7822095 10950933 14079771 18251555 23466285 32852799 54754665 70398855 98558397 164263995 492791985