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14248 = 2313137
BaseRepresentation
bin11011110101000
3201112201
43132220
5423443
6145544
756353
oct33650
921481
1014248
11a783
1282b4
136640
14529a
15434d
hex37a8

14248 has 16 divisors (see below), whose sum is σ = 28980. Its totient is φ = 6528.

The previous prime is 14243. The next prime is 14249. The reversal of 14248 is 84241.

It can be written as a sum of positive squares in 2 ways, for example, as 13924 + 324 = 118^2 + 18^2 .

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (14243) by changing a digit.

14248 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 3 ways as a sum of consecutive naturals, for example, 36 + ... + 172.

214248 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 14248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14490).

14248 is an abundant number, since it is smaller than the sum of its proper divisors (14732).

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

14248 is a wasteful number, since it uses less digits than its factorization.

14248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 152 counting only the distinct ones).

The product of its digits is 256, while the sum is 19.

The square root of 14248 is about 119.3649864910. The cubic root of 14248 is about 24.2429036521.

Adding to 14248 its reverse (84241), we get a palindrome (98489).

It can be divided in two parts, 142 and 48, that added together give a triangular number (190 = T19).

The spelling of 14248 in words is "fourteen thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 26 52 104 137 274 548 1096 1781 3562 7124 14248