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9913608 = 2332157877
BaseRepresentation
bin100101110100…
…010100001000
3200122122220200
4211310110020
510014213413
6552252200
7150156435
oct45642410
920578820
109913608
115661271
1233a1060
132091453
141460b8c
15d0c573
hex974508

9913608 has 48 divisors (see below), whose sum is σ = 27051180. Its totient is φ = 3279744.

The previous prime is 9913571. The next prime is 9913609. The reversal of 9913608 is 8063199.

It can be written as a sum of positive squares in 2 ways, for example, as 9847044 + 66564 = 3138^2 + 258^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9913609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10866 + ... + 11742.

Almost surely, 29913608 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 9913608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13525590).

9913608 is an abundant number, since it is smaller than the sum of its proper divisors (17137572).

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

9913608 is a wasteful number, since it uses less digits than its factorization.

9913608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 9913608 is about 3148.5882550756. The cubic root of 9913608 is about 214.8212539959.

The spelling of 9913608 in words is "nine million, nine hundred thirteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 471 628 877 942 1256 1413 1754 1884 2631 2826 3508 3768 5262 5652 7016 7893 10524 11304 15786 21048 31572 63144 137689 275378 413067 550756 826134 1101512 1239201 1652268 2478402 3304536 4956804 9913608