Search a number
-
+
25398 = 2321783
BaseRepresentation
bin110001100110110
31021211200
412030312
51303043
6313330
7134022
oct61466
937750
1025398
111809a
1212846
13b739
149382
1577d3
hex6336

25398 has 24 divisors (see below), whose sum is σ = 58968. Its totient is φ = 7872.

The previous prime is 25391. The next prime is 25409. The reversal of 25398 is 89352.

25398 is nontrivially palindromic in base 16.

25398 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

25398 is a Rhonda number in base 8.

Its product of digits (2160) is a multiple of the sum of its prime factors (108).

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 25398.

It is not an unprimeable number, because it can be changed into a prime (25391) 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, 265 + ... + 347.

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

225398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29484).

25398 is an abundant number, since it is smaller than the sum of its proper divisors (33570).

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

25398 is a wasteful number, since it uses less digits than its factorization.

25398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 105 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 25398 is about 159.3674998235. The cubic root of 25398 is about 29.3945290389.

Adding to 25398 its sum of digits (27), we get a triangular number (25425 = T225).

It can be divided in two parts, 253 and 98, that added together give a triangular number (351 = T26).

The spelling of 25398 in words is "twenty-five thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 17 18 34 51 83 102 153 166 249 306 498 747 1411 1494 2822 4233 8466 12699 25398