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2632 = 23747
BaseRepresentation
bin101001001000
310121111
4221020
541012
620104
710450
oct5110
93544
102632
111a83
121634
131276
14d60
15ba7
hexa48

2632 has 16 divisors (see below), whose sum is σ = 5760. Its totient is φ = 1104.

The previous prime is 2621. The next prime is 2633. The reversal of 2632 is 2362.

It is a nialpdrome in base 8, base 14 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2633) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33 + ... + 79.

It is an arithmetic number, because the mean of its divisors is an integer number (360).

22632 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 2632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880).

2632 is an abundant number, since it is smaller than the sum of its proper divisors (3128).

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

2632 is a wasteful number, since it uses less digits than its factorization.

2632 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 digits is 72, while the sum is 13.

The square root of 2632 is about 51.3030213535. The cubic root of 2632 is about 13.8068718838.

Adding to 2632 its product of digits (72), we get a square (2704 = 522).

Adding to 2632 its reverse (2362), we get a palindrome (4994).

The spelling of 2632 in words is "two thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 329 376 658 1316 2632