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7981992 = 2332591879
BaseRepresentation
bin11110011100101110101000
3120000112020100
4132130232220
54020410432
6443025400
7124563054
oct36345650
916015210
107981992
114561a97
12280b260
131866195
1410bac64
15a7a07c
hex79cba8

7981992 has 48 divisors (see below), whose sum is σ = 21996000. Its totient is φ = 2614176.

The previous prime is 7981949. The next prime is 7981999. The reversal of 7981992 is 2991897.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7981999) 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 11 ways as a sum of consecutive naturals, for example, 3309 + ... + 5187.

It is an arithmetic number, because the mean of its divisors is an integer number (458250).

Almost surely, 27981992 is an apocalyptic number.

7981992 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 7981992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10998000).

7981992 is an abundant number, since it is smaller than the sum of its proper divisors (14014008).

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

7981992 is a wasteful number, since it uses less digits than its factorization.

7981992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1943 counting only the distinct ones).

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

The square root of 7981992 is about 2825.2419365428. The cubic root of 7981992 is about 199.8498205923.

The spelling of 7981992 in words is "seven million, nine hundred eighty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 472 531 708 1062 1416 1879 2124 3758 4248 5637 7516 11274 15032 16911 22548 33822 45096 67644 110861 135288 221722 332583 443444 665166 886888 997749 1330332 1995498 2660664 3990996 7981992