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7989912 = 2332783191
BaseRepresentation
bin11110011110101010011000
3120000221002200
4132132222120
54021134122
6443130200
7124625130
oct36365230
916027080
107989912
114567a37
122813960
131869978
1410bdac0
15a7c5ac
hex79ea98

7989912 has 96 divisors (see below), whose sum is σ = 25159680. Its totient is φ = 2243520.

The previous prime is 7989907. The next prime is 7989929. The reversal of 7989912 is 2199897.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 41737 + ... + 41927.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 27989912 is an apocalyptic number.

7989912 is a gapful number since it is divisible by the number (72) 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 7989912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12579840).

7989912 is an abundant number, since it is smaller than the sum of its proper divisors (17169768).

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

7989912 is a wasteful number, since it uses less digits than its factorization.

7989912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 286 counting only the distinct ones).

The product of its digits is 81648, while the sum is 45.

The square root of 7989912 is about 2826.6432388966. The cubic root of 7989912 is about 199.9158979725.

The spelling of 7989912 in words is "seven million, nine hundred eighty-nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 83 84 126 166 168 191 249 252 332 382 498 504 573 581 664 747 764 996 1146 1162 1337 1494 1528 1719 1743 1992 2292 2324 2674 2988 3438 3486 4011 4584 4648 5229 5348 5976 6876 6972 8022 10458 10696 12033 13752 13944 15853 16044 20916 24066 31706 32088 41832 47559 48132 63412 95118 96264 110971 126824 142677 190236 221942 285354 332913 380472 443884 570708 665826 887768 998739 1141416 1331652 1997478 2663304 3994956 7989912