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9982868 = 227231253
BaseRepresentation
bin100110000101…
…001110010100
3200210011220212
4212011032110
510023422433
6553544552
7150565400
oct46051624
920704825
109982868
1156a9305
123415158
1320b6b2c
14147c100
15d22d48
hex985394

9982868 has 54 divisors (see below), whose sum is σ = 21395178. Its totient is φ = 4062240.

The previous prime is 9982867. The next prime is 9982871. The reversal of 9982868 is 8682899.

It can be written as a sum of positive squares in only one way, i.e., 9229444 + 753424 = 3038^2 + 868^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9982867) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 188330 + ... + 188382.

It is an arithmetic number, because the mean of its divisors is an integer number (396207).

Almost surely, 29982868 is an apocalyptic number.

9982868 is a gapful number since it is divisible by the number (98) 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 9982868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10697589).

9982868 is an abundant number, since it is smaller than the sum of its proper divisors (11412310).

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

9982868 is a wasteful number, since it uses less digits than its factorization.

9982868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 93 counting only the distinct ones).

The product of its digits is 497664, while the sum is 50.

The square root of 9982868 is about 3159.5676919477. The cubic root of 9982868 is about 215.3203660927.

The spelling of 9982868 in words is "nine million, nine hundred eighty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 14 28 31 49 53 62 98 106 124 196 212 217 371 434 742 868 961 1484 1519 1643 1922 2597 3038 3286 3844 5194 6076 6572 6727 10388 11501 13454 23002 26908 46004 47089 50933 80507 94178 101866 161014 188356 203732 322028 356531 713062 1426124 2495717 4991434 9982868