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9992682 = 2327711117
BaseRepresentation
bin100110000111…
…100111101010
3200210200101100
4212013213222
510024231212
6554102230
7150636120
oct46074752
920720340
109992682
115705717
12341a976
1320bb43b
141481910
15d25bdc
hex9879ea

9992682 has 48 divisors (see below), whose sum is σ = 25114752. Its totient is φ = 2812320.

The previous prime is 9992681. The next prime is 9992693. The reversal of 9992682 is 2862999.

It is not an unprimeable number, because it can be changed into a prime (9992681) 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 23 ways as a sum of consecutive naturals, for example, 8388 + ... + 9504.

It is an arithmetic number, because the mean of its divisors is an integer number (523224).

Almost surely, 29992682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9992682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12557376).

9992682 is an abundant number, since it is smaller than the sum of its proper divisors (15122070).

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

9992682 is a wasteful number, since it uses less digits than its factorization.

9992682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1200 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 9992682 is about 3161.1203710077. The cubic root of 9992682 is about 215.3909023348.

The spelling of 9992682 in words is "nine million, nine hundred ninety-two thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 71 126 142 213 426 497 639 994 1117 1278 1491 2234 2982 3351 4473 6702 7819 8946 10053 15638 20106 23457 46914 70371 79307 140742 158614 237921 475842 555149 713763 1110298 1427526 1665447 3330894 4996341 9992682