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492682086 = 232133675737
BaseRepresentation
bin11101010111011…
…011101101100110
31021100001211202200
4131113123231212
52002111311321
6120515515330
715131504631
oct3527335546
91240054680
10492682086
11233119386
12118bb8b46
137b0c2280
144960cc18
152d3bed26
hex1d5dbb66

492682086 has 48 divisors (see below), whose sum is σ = 1152924864. Its totient is φ = 151155072.

The previous prime is 492682081. The next prime is 492682093. The reversal of 492682086 is 680286294.

492682086 is a `hidden beast` number, since 492 + 6 + 82 + 0 + 86 = 666.

It is a super-2 number, since 2×4926820862 = 485471275730622792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492682081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83010 + ... + 88746.

It is an arithmetic number, because the mean of its divisors is an integer number (24019268).

Almost surely, 2492682086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492682086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576462432).

492682086 is an abundant number, since it is smaller than the sum of its proper divisors (660242778).

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

492682086 is a wasteful number, since it uses less digits than its factorization.

492682086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6125 (or 6122 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 492682086 is about 22196.4430934328. The cubic root of 492682086 is about 789.8093253438.

The spelling of 492682086 in words is "four hundred ninety-two million, six hundred eighty-two thousand, eighty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 367 734 1101 2202 3303 4771 5737 6606 9542 11474 14313 17211 28626 34422 42939 51633 74581 85878 103266 149162 223743 447486 671229 1342458 2105479 4210958 6316437 12632874 18949311 27371227 37898622 54742454 82113681 164227362 246341043 492682086