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5232 = 243109
BaseRepresentation
bin1010001110000
321011210
41101300
5131412
640120
721153
oct12160
97153
105232
113a27
123040
1324c6
141c9a
15183c
hex1470

5232 has 20 divisors (see below), whose sum is σ = 13640. Its totient is φ = 1728.

The previous prime is 5231. The next prime is 5233. The reversal of 5232 is 2325.

It is an interprime number because it is at equal distance from previous prime (5231) and next prime (5233).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a d-powerful number, because it can be written as 55 + 33 + 25 + 211 .

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5232.

It is not an unprimeable number, because it can be changed into a prime (5231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7 + ... + 102.

It is an arithmetic number, because the mean of its divisors is an integer number (682).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6820).

5232 is an abundant number, since it is smaller than the sum of its proper divisors (8408).

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

5232 is a wasteful number, since it uses less digits than its factorization.

5232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 114 counting only the distinct ones).

The product of its digits is 60, while the sum is 12.

The square root of 5232 is about 72.3325652801. The cubic root of 5232 is about 17.3602474711.

Adding to 5232 its reverse (2325), we get a palindrome (7557).

It can be divided in two parts, 523 and 2, that added together give a palindrome (525).

The spelling of 5232 in words is "five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 327 436 654 872 1308 1744 2616 5232