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11448 = 233353
BaseRepresentation
bin10110010111000
3120201000
42302320
5331243
6125000
745243
oct26270
916630
1011448
118668
126760
135298
14425a
1535d3
hex2cb8

11448 has 32 divisors (see below), whose sum is σ = 32400. Its totient is φ = 3744.

The previous prime is 11447. The next prime is 11467. The reversal of 11448 is 84411.

11448 divided by its sum of digits (18) gives a palindrome (636).

Adding to 11448 its reverse (84411), we get a palindrome (95859).

11448 is nontrivially palindromic in base 11.

11448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1072-1.

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

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 self number, because there is not a number n which added to its sum of digits gives 11448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11443) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 190 + ... + 242.

211448 is an apocalyptic number.

11448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16200).

11448 is an abundant number, since it is smaller than the sum of its proper divisors (20952).

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

11448 is a wasteful number, since it uses less digits than its factorization.

11448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 58 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 11448 is about 106.9953270008. The cubic root of 11448 is about 22.5377145253.

The spelling of 11448 in words is "eleven thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 159 212 216 318 424 477 636 954 1272 1431 1908 2862 3816 5724 11448