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25038 = 23213107
BaseRepresentation
bin110000111001110
31021100100
412013032
51300123
6311530
7132666
oct60716
937310
1025038
11178a2
12125a6
13b520
1491a6
157643
hex61ce

25038 has 24 divisors (see below), whose sum is σ = 58968. Its totient is φ = 7632.

The previous prime is 25037. The next prime is 25057. The reversal of 25038 is 83052.

25038 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a Curzon number.

It is a nialpdrome in base 13 and base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 25038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181 + ... + 287.

It is an arithmetic number, because the mean of its divisors is an integer number (2457).

225038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29484).

25038 is an abundant number, since it is smaller than the sum of its proper divisors (33930).

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

25038 is a wasteful number, since it uses less digits than its factorization.

25038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 25038 is about 158.2340039309. The cubic root of 25038 is about 29.2549849054.

The spelling of 25038 in words is "twenty-five thousand, thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 107 117 214 234 321 642 963 1391 1926 2782 4173 8346 12519 25038