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9924112 = 2411113499
BaseRepresentation
bin100101110110…
…111000010000
3200200012022201
4211312320100
510020032422
6552412544
7150232162
oct45667020
920605281
109924112
115669150
1233a7154
132096173
141464932
15d10727
hex976e10

9924112 has 40 divisors (see below), whose sum is σ = 21204000. Its totient is φ = 4462080.

The previous prime is 9924071. The next prime is 9924113. The reversal of 9924112 is 2114299.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (9924113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19639 + ... + 20137.

It is an arithmetic number, because the mean of its divisors is an integer number (530100).

Almost surely, 29924112 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 9924112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10602000).

9924112 is an abundant number, since it is smaller than the sum of its proper divisors (11279888).

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

9924112 is a wasteful number, since it uses less digits than its factorization.

9924112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 625 counting only the distinct ones).

The product of its digits is 1296, while the sum is 28.

The square root of 9924112 is about 3150.2558626245. The cubic root of 9924112 is about 214.8970987662.

The spelling of 9924112 in words is "nine million, nine hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 113 176 226 452 499 904 998 1243 1808 1996 2486 3992 4972 5489 7984 9944 10978 19888 21956 43912 56387 87824 112774 225548 451096 620257 902192 1240514 2481028 4962056 9924112