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25350 = 2352132
BaseRepresentation
bin110001100000110
31021202220
412030012
51302400
6313210
7133623
oct61406
937686
1025350
1118056
1212806
13b700
14934a
1577a0
hex6306

25350 has 36 divisors (see below), whose sum is σ = 68076. Its totient is φ = 6240.

The previous prime is 25349. The next prime is 25357. The reversal of 25350 is 5352.

25350 = 382 + 392 + ... + 502.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25357) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1944 + ... + 1956.

It is an arithmetic number, because the mean of its divisors is an integer number (1891).

225350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34038).

25350 is an abundant number, since it is smaller than the sum of its proper divisors (42726).

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

25350 is a wasteful number, since it uses less digits than its factorization.

25350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 25350 is about 159.2168332809. The cubic root of 25350 is about 29.3759996642.

Subtracting from 25350 its product of nonzero digits (150), we obtain a triangular number (25200 = T224).

Multiplying 25350 by its product of nonzero digits (150), we get a square (3802500 = 19502).

25350 divided by its product of nonzero digits (150) gives a square (169 = 132).

It can be divided in two parts, 253 and 50, that added together give a palindrome (303).

The spelling of 25350 in words is "twenty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 169 195 325 338 390 507 650 845 975 1014 1690 1950 2535 4225 5070 8450 12675 25350