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19448 = 23111317
BaseRepresentation
bin100101111111000
3222200022
410233320
51110243
6230012
7110462
oct45770
928608
1019448
1113680
12b308
138b10
147132
155b68
hex4bf8

19448 has 32 divisors (see below), whose sum is σ = 45360. Its totient is φ = 7680.

The previous prime is 19447. The next prime is 19457. The reversal of 19448 is 84491.

19448 is a nontrivial binomial coefficient, being equal to C(17, 7).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19441) 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, 1136 + ... + 1152.

219448 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 19448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22680).

19448 is an abundant number, since it is smaller than the sum of its proper divisors (25912).

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

19448 is a wasteful number, since it uses less digits than its factorization.

19448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 43 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 19448 is about 139.4560862781. The cubic root of 19448 is about 26.8921163725.

It can be divided in two parts, 194 and 48, that added together give a palindrome (242).

The spelling of 19448 in words is "nineteen thousand, four hundred forty-eight".