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492730992 = 243313217397
BaseRepresentation
bin11101010111100…
…111101001110000
31021100011022212000
4131113213221300
52002114342432
6120520534000
715132100335
oct3527475160
91240138760
10492730992
112331520a6
12119021300
137b10b600
144962298c
152d3ce57c
hex1d5e7a70

492730992 has 240 divisors, whose sum is σ = 1625654880. Its totient is φ = 142331904.

The previous prime is 492730991. The next prime is 492731021. The reversal of 492730992 is 299037294.

492730992 is a `hidden beast` number, since 492 + 73 + 0 + 9 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492730991) 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 47 ways as a sum of consecutive naturals, for example, 1240938 + ... + 1241334.

It is an arithmetic number, because the mean of its divisors is an integer number (6773562).

Almost surely, 2492730992 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 492730992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812827440).

492730992 is an abundant number, since it is smaller than the sum of its proper divisors (1132923888).

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

492730992 is a wasteful number, since it uses less digits than its factorization.

492730992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 492730992 is about 22197.5447290911. The cubic root of 492730992 is about 789.8354579068.

The spelling of 492730992 in words is "four hundred ninety-two million, seven hundred thirty thousand, nine hundred ninety-two".