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25056 = 253329
BaseRepresentation
bin110000111100000
31021101000
412013200
51300211
6312000
7133023
oct60740
937330
1025056
1117909
1212600
13b535
1491ba
157656
hex61e0

25056 has 48 divisors (see below), whose sum is σ = 75600. Its totient is φ = 8064.

The previous prime is 25037. The next prime is 25057. The reversal of 25056 is 65052.

25056 is an esthetic number in base 15, 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25057) by changing a digit.

25056 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 850 + ... + 878.

It is an arithmetic number, because the mean of its divisors is an integer number (1575).

225056 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 25056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37800).

25056 is an abundant number, since it is smaller than the sum of its proper divisors (50544).

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

25056 is a wasteful number, since it uses less digits than its factorization.

25056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 25056 is about 158.2908714993. The cubic root of 25056 is about 29.2619937664.

The spelling of 25056 in words is "twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 216 232 261 288 348 432 464 522 696 783 864 928 1044 1392 1566 2088 2784 3132 4176 6264 8352 12528 25056