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191982 = 2372653
BaseRepresentation
bin101110110111101110
3100202100110
4232313232
522120412
64040450
71426500
oct566756
9322313
10191982
1112126a
1293126
13694cb
144dd70
153bd3c
hex2edee

191982 has 24 divisors (see below), whose sum is σ = 447336. Its totient is φ = 54768.

The previous prime is 191977. The next prime is 191999. The reversal of 191982 is 289191.

191982 is nontrivially palindromic in base 4.

It is a congruent number.

It is an unprimeable number.

191982 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 33 + ... + 620.

It is an arithmetic number, because the mean of its divisors is an integer number (18639).

2191982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223668).

191982 is an abundant number, since it is smaller than the sum of its proper divisors (255354).

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

191982 is a wasteful number, since it uses less digits than its factorization.

191982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 665 counting only the distinct ones).

The product of its digits is 1296, while the sum is 30.

The square root of 191982 is about 438.1575059268. The cubic root of 191982 is about 57.6881799440.

The spelling of 191982 in words is "one hundred ninety-one thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 653 1306 1959 3918 4571 9142 13713 27426 31997 63994 95991 191982