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5032 = 231737
BaseRepresentation
bin1001110101000
320220101
41032220
5130112
635144
720446
oct11650
96811
105032
113865
122ab4
1323a1
141b96
151757
hex13a8

5032 has 16 divisors (see below), whose sum is σ = 10260. Its totient is φ = 2304.

The previous prime is 5023. The next prime is 5039. The reversal of 5032 is 2305.

It can be written as a sum of positive squares in 2 ways, for example, as 4356 + 676 = 66^2 + 26^2 .

It is an Ulam number.

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

It is not an unprimeable number, because it can be changed into a prime (5039) by changing a digit.

5032 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 118 + ... + 154.

It is an amenable number.

5032 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5130).

5032 is a wasteful number, since it uses less digits than its factorization.

5032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 5032 is about 70.9365914039. The cubic root of 5032 is about 17.1361614063.

Adding to 5032 its reverse (2305), we get a palindrome (7337).

It can be divided in two parts, 503 and 2, that added together give a palindrome (505).

The spelling of 5032 in words is "five thousand, thirty-two".

Divisors: 1 2 4 8 17 34 37 68 74 136 148 296 629 1258 2516 5032