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25024 = 261723
BaseRepresentation
bin110000111000000
31021022211
412013000
51300044
6311504
7132646
oct60700
937284
1025024
111788a
1212594
13b50c
149196
157634
hex61c0

25024 has 28 divisors (see below), whose sum is σ = 54864. Its totient is φ = 11264.

The previous prime is 25013. The next prime is 25031. The reversal of 25024 is 42052.

It is a happy number.

It is a plaindrome in base 11.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 24995 and 25013.

It is a congruent number.

It is an unprimeable number.

25024 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 1077 + ... + 1099.

225024 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 25024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27432).

25024 is an abundant number, since it is smaller than the sum of its proper divisors (29840).

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

25024 is a wasteful number, since it uses less digits than its factorization.

25024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 25024 is about 158.1897594663. The cubic root of 25024 is about 29.2495312463.

Adding to 25024 its reverse (42052), we get a palindrome (67076).

The spelling of 25024 in words is "twenty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 136 184 272 368 391 544 736 782 1088 1472 1564 3128 6256 12512 25024