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25842 = 235973
BaseRepresentation
bin110010011110010
31022110010
412103302
51311332
6315350
7135225
oct62362
938403
1025842
1118463
1212b56
13b9bb
1495bc
1579cc
hex64f2

25842 has 16 divisors (see below), whose sum is σ = 53280. Its totient is φ = 8352.

The previous prime is 25841. The next prime is 25847. The reversal of 25842 is 24852.

25842 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 25842.

It is not an unprimeable number, because it can be changed into a prime (25841) 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, 318 + ... + 390.

It is an arithmetic number, because the mean of its divisors is an integer number (3330).

225842 is an apocalyptic number.

25842 is an abundant number, since it is smaller than the sum of its proper divisors (27438).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26640).

25842 is a wasteful number, since it uses less digits than its factorization.

25842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137.

The product of its digits is 640, while the sum is 21.

The square root of 25842 is about 160.7544711664. The cubic root of 25842 is about 29.5648291785.

Subtracting from 25842 its reverse (24852), we obtain a triangular number (990 = T44).

It can be divided in two parts, 258 and 42, that added together give a triangular number (300 = T24).

The spelling of 25842 in words is "twenty-five thousand, eight hundred forty-two".

Divisors: 1 2 3 6 59 73 118 146 177 219 354 438 4307 8614 12921 25842