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25800 = 2335243
BaseRepresentation
bin110010011001000
31022101120
412103020
51311200
6315240
7135135
oct62310
938346
1025800
1118425
1212b20
13b988
14958c
1579a0
hex64c8

25800 has 48 divisors (see below), whose sum is σ = 81840. Its totient is φ = 6720.

The previous prime is 25799. The next prime is 25801. The reversal of 25800 is 852.

25800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (25799) and next prime (25801).

It is a Harshad number since it is a multiple of its sum of digits (15).

25800 is strictly pandigital in base 6.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 25800.

It is not an unprimeable number, because it can be changed into a prime (25801) 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, 579 + ... + 621.

It is an arithmetic number, because the mean of its divisors is an integer number (1705).

225800 is an apocalyptic number.

25800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40920).

25800 is an abundant number, since it is smaller than the sum of its proper divisors (56040).

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

25800 is a wasteful number, since it uses less digits than its factorization.

25800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 25800 is about 160.6237840421. The cubic root of 25800 is about 29.5488036368.

The spelling of 25800 in words is "twenty-five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 129 150 172 200 215 258 300 344 430 516 600 645 860 1032 1075 1290 1720 2150 2580 3225 4300 5160 6450 8600 12900 25800