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1981992 = 233269307
BaseRepresentation
bin111100011111000101000
310201200210010
413203320220
51001410432
6110251520
722563255
oct7437050
93650703
101981992
111134111
127b6ba0
1354519c
1439842c
152923cc
hex1e3e28

1981992 has 32 divisors (see below), whose sum is σ = 4989600. Its totient is φ = 656064.

The previous prime is 1981963. The next prime is 1981997. The reversal of 1981992 is 2991891.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1981992.

It is not an unprimeable number, because it can be changed into a prime (1981997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6303 + ... + 6609.

It is an arithmetic number, because the mean of its divisors is an integer number (155925).

21981992 is an apocalyptic number.

1981992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1981992 is an abundant number, since it is smaller than the sum of its proper divisors (3007608).

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

1981992 is a wasteful number, since it uses less digits than its factorization.

1981992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 581 counting only the distinct ones).

The product of its digits is 11664, while the sum is 39.

The square root of 1981992 is about 1407.8323763858. The cubic root of 1981992 is about 125.6128200364.

The spelling of 1981992 in words is "one million, nine hundred eighty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 269 307 538 614 807 921 1076 1228 1614 1842 2152 2456 3228 3684 6456 7368 82583 165166 247749 330332 495498 660664 990996 1981992