Search a number
-
+
14448 = 243743
BaseRepresentation
bin11100001110000
3201211010
43201300
5430243
6150520
760060
oct34160
921733
1014448
11a945
128440
136765
1453a0
154433
hex3870

14448 has 40 divisors (see below), whose sum is σ = 43648. Its totient is φ = 4032.

The previous prime is 14447. The next prime is 14449. The reversal of 14448 is 84441.

14448 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (14447) and next prime (14449).

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a plaindrome in base 10.

It is a nialpdrome in base 12 and base 15.

It is a zygodrome in base 2 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 315 + ... + 357.

214448 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 14448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21824).

14448 is an abundant number, since it is smaller than the sum of its proper divisors (29200).

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

14448 is a wasteful number, since it uses less digits than its factorization.

14448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 55 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 14448 is about 120.1998336105. The cubic root of 14448 is about 24.3558100111.

Adding to 14448 its reverse (84441), we get a palindrome (98889).

The spelling of 14448 in words is "fourteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 258 301 336 344 516 602 688 903 1032 1204 1806 2064 2408 3612 4816 7224 14448