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499982112 = 25337192229
BaseRepresentation
bin11101110011010…
…001111100100000
31021211210201112000
4131303101330200
52010443411422
6121340204000
715250530540
oct3563217440
91254721460
10499982112
11237254a63
1211b539600
137c779c06
144a58d320
152dd62cac
hex1dcd1f20

499982112 has 288 divisors, whose sum is σ = 1766620800. Its totient is φ = 134742528.

The previous prime is 499982111. The next prime is 499982137. The reversal of 499982112 is 211289994.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4999821122 = 499964224639961088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (499982111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2183214 + ... + 2183442.

It is an arithmetic number, because the mean of its divisors is an integer number (6134100).

Almost surely, 2499982112 is an apocalyptic number.

499982112 is a gapful number since it is divisible by the number (42) 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 499982112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883310400).

499982112 is an abundant number, since it is smaller than the sum of its proper divisors (1266638688).

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

499982112 is a wasteful number, since it uses less digits than its factorization.

499982112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 260 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 499982112 is about 22360.2797835805. The cubic root of 499982112 is about 793.6910607279.

The spelling of 499982112 in words is "four hundred ninety-nine million, nine hundred eighty-two thousand, one hundred twelve".