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25668 = 22322331
BaseRepresentation
bin110010001000100
31022012200
412101010
51310133
6314500
7134556
oct62104
938180
1025668
1118315
1212a30
13b8b6
1494d6
157913
hex6444

25668 has 36 divisors (see below), whose sum is σ = 69888. Its totient is φ = 7920.

The previous prime is 25667. The next prime is 25673. The reversal of 25668 is 86652.

25668 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (36).

Its product of digits (2880) is a multiple of the sum of its prime factors (64).

It is a plaindrome in base 7 and base 10.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (25667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 813 + ... + 843.

225668 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 25668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34944).

25668 is an abundant number, since it is smaller than the sum of its proper divisors (44220).

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

25668 is a wasteful number, since it uses less digits than its factorization.

25668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 59 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 25668 is about 160.2123590738. The cubic root of 25668 is about 29.4983241411.

It can be divided in two parts, 256 and 68, that added together give a square (324 = 182).

The spelling of 25668 in words is "twenty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 46 62 69 92 93 124 138 186 207 276 279 372 414 558 713 828 1116 1426 2139 2852 4278 6417 8556 12834 25668