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189882 = 232711137
BaseRepresentation
bin101110010110111010
3100122110200
4232112322
522034012
64023030
71420410
oct562672
9318420
10189882
1111a730
1291a76
1368574
144d2b0
153b3dc
hex2e5ba

189882 has 48 divisors (see below), whose sum is σ = 516672. Its totient is φ = 48960.

The previous prime is 189881. The next prime is 189887. The reversal of 189882 is 288981.

It is not an unprimeable number, because it can be changed into a prime (189881) 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 23 ways as a sum of consecutive naturals, for example, 1318 + ... + 1454.

It is an arithmetic number, because the mean of its divisors is an integer number (10764).

2189882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258336).

189882 is an abundant number, since it is smaller than the sum of its proper divisors (326790).

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

189882 is a wasteful number, since it uses less digits than its factorization.

189882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 160 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 189882 is about 435.7545180489. The cubic root of 189882 is about 57.4770670993.

Subtracting 189882 from its reverse (288981), we obtain a palindrome (99099).

The spelling of 189882 in words is "one hundred eighty-nine thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 137 154 198 231 274 411 462 693 822 959 1233 1386 1507 1918 2466 2877 3014 4521 5754 8631 9042 10549 13563 17262 21098 27126 31647 63294 94941 189882