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9882 = 23461
BaseRepresentation
bin10011010011010
3111120000
42122122
5304012
6113430
740545
oct23232
914500
109882
117474
125876
134662
14385c
152ddc
hex269a

9882 has 20 divisors (see below), whose sum is σ = 22506. Its totient is φ = 3240.

The previous prime is 9871. The next prime is 9883. The reversal of 9882 is 2889.

9882 is nontrivially palindromic in base 8.

9882 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

9882 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 9801 + 81 = 99^2 + 9^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

9882 is an undulating number in base 8 and base 11.

It is a plaindrome in base 16.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (9883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 132 + ... + 192.

29882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11253).

9882 is an abundant number, since it is smaller than the sum of its proper divisors (12624).

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

9882 is a wasteful number, since it uses less digits than its factorization.

9882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 66 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 9882 is about 99.4082491547. The cubic root of 9882 is about 21.4592702851.

It can be divided in two parts, 988 and 2, that added together give a triangular number (990 = T44).

The spelling of 9882 in words is "nine thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 366 549 1098 1647 3294 4941 9882