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8232 = 23373

8232 has 32 divisors (see below), whose sum is σ = 24000. Its totient is φ = 2352.

The previous prime is 8231. The next prime is 8233. The reversal of 8232 is 2328.

8232 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (8231) and next prime (8233).

It is an ABA number since it can be written as A⋅BA, here for A=3, B=14.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (96) is a multiple of the sum of its prime divisors (12).

It is a plaindrome in base 9 and base 15.

It is a nialpdrome in base 7 and base 14.

It is a zygodrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8232.

It is not an unprimeable number, because it can be changed into a prime (8231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1173 + ... + 1179.

It is an arithmetic number, because the mean of its divisors is an integer number (750).

28232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12000).

8232 is an abundant number, since it is smaller than the sum of its proper divisors (15768).

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

8232 is a wasteful number, since it uses less digits than its factorization.

8232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30 (or 12 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 8232 is about 90.7303697777. The cubic root of 8232 is about 20.1914939843.

The spelling of 8232 in words is "eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1029 1176 1372 2058 2744 4116 8232