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499436112 = 243710114717
BaseRepresentation
bin11101110001001…
…100101001010000
31021210202222112210
4131301030221100
52010323423422
6121320352120
715243064650
oct3561145120
91253688483
10499436112
11236a1181a
1211b315640
137c618536
144a48a360
152dca610c
hex1dc4ca50

499436112 has 80 divisors (see below), whose sum is σ = 1489226112. Its totient is φ = 141273600.

The previous prime is 499436107. The next prime is 499436117. The reversal of 499436112 is 211634994.

It is an interprime number because it is at equal distance from previous prime (499436107) and next prime (499436117).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (499436117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26578 + ... + 41294.

Almost surely, 2499436112 is an apocalyptic number.

499436112 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 499436112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744613056).

499436112 is an abundant number, since it is smaller than the sum of its proper divisors (989790000).

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

499436112 is a wasteful number, since it uses less digits than its factorization.

499436112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14836 (or 14830 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 499436112 is about 22348.0672989858. The cubic root of 499436112 is about 793.4020416133.

The spelling of 499436112 in words is "four hundred ninety-nine million, four hundred thirty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 101 112 168 202 303 336 404 606 707 808 1212 1414 1616 2121 2424 2828 4242 4848 5656 8484 11312 14717 16968 29434 33936 44151 58868 88302 103019 117736 176604 206038 235472 309057 353208 412076 618114 706416 824152 1236228 1486417 1648304 2472456 2972834 4459251 4944912 5945668 8918502 10404919 11891336 17837004 20809838 23782672 31214757 35674008 41619676 62429514 71348016 83239352 124859028 166478704 249718056 499436112