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25764 = 22319113
BaseRepresentation
bin110010010100100
31022100020
412102210
51311024
6315140
7135054
oct62244
938306
1025764
11183a2
1212ab0
13b95b
149564
157979
hex64a4

25764 has 24 divisors (see below), whose sum is σ = 63840. Its totient is φ = 8064.

The previous prime is 25763. The next prime is 25771. The reversal of 25764 is 46752.

It is a happy number.

It is a d-powerful number, because it can be written as 25 + 53 + 75 + 65 + 45 .

25764 is an undulating number in base 15.

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 25764.

It is not an unprimeable number, because it can be changed into a prime (25763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172 + ... + 284.

It is an arithmetic number, because the mean of its divisors is an integer number (2660).

225764 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 25764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31920).

25764 is an abundant number, since it is smaller than the sum of its proper divisors (38076).

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

25764 is a wasteful number, since it uses less digits than its factorization.

25764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 137 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 25764 is about 160.5116818179. The cubic root of 25764 is about 29.5350536099.

The spelling of 25764 in words is "twenty-five thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 113 114 226 228 339 452 678 1356 2147 4294 6441 8588 12882 25764