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9944864 = 2517101181
BaseRepresentation
bin100101111011…
…111100100000
3200201020210022
4211323330200
510021213424
6553053012
7150346526
oct45737440
920636708
109944864
1156827a6
1233b7168
1320a2747
14146c316
15d1695e
hex97bf20

9944864 has 48 divisors (see below), whose sum is σ = 21051576. Its totient is φ = 4608000.

The previous prime is 9944849. The next prime is 9944917. The reversal of 9944864 is 4684499.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9120400 + 824464 = 3020^2 + 908^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 54854 + ... + 55034.

Almost surely, 29944864 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 9944864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10525788).

9944864 is an abundant number, since it is smaller than the sum of its proper divisors (11106712).

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

9944864 is a wasteful number, since it uses less digits than its factorization.

9944864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 301 counting only the distinct ones).

The product of its digits is 248832, while the sum is 44.

The square root of 9944864 is about 3153.5478433028. The cubic root of 9944864 is about 215.0467826806.

The spelling of 9944864 in words is "nine million, nine hundred forty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 68 101 136 181 202 272 362 404 544 724 808 1448 1616 1717 2896 3077 3232 3434 5792 6154 6868 12308 13736 18281 24616 27472 36562 49232 54944 73124 98464 146248 292496 310777 584992 621554 1243108 2486216 4972432 9944864