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25506 = 23213109
BaseRepresentation
bin110001110100010
31021222200
412032202
51304011
6314030
7134235
oct61642
937880
1025506
1118188
1212916
13b7c0
14941c
157856
hex63a2

25506 has 24 divisors (see below), whose sum is σ = 60060. Its totient is φ = 7776.

The previous prime is 25471. The next prime is 25523. The reversal of 25506 is 60552.

It can be written as a sum of positive squares in 2 ways, for example, as 25281 + 225 = 159^2 + 15^2 .

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 25506.

It is an unprimeable number.

25506 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180 + ... + 288.

225506 is an apocalyptic number.

25506 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 25506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30030).

25506 is an abundant number, since it is smaller than the sum of its proper divisors (34554).

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

25506 is a wasteful number, since it uses less digits than its factorization.

25506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 127 counting only the distinct ones).

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

The square root of 25506 is about 159.7059798505. The cubic root of 25506 is about 29.4361349388.

It can be divided in two parts, 2550 and 6, that added together give a triangular number (2556 = T71).

The spelling of 25506 in words is "twenty-five thousand, five hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 109 117 218 234 327 654 981 1417 1962 2834 4251 8502 12753 25506