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84448 = 2571329
BaseRepresentation
bin10100100111100000
311021211201
4110213200
510200243
61450544
7501130
oct244740
9137751
1084448
11584a1
1240a54
132c590
1422ac0
151a04d
hex149e0

84448 has 48 divisors (see below), whose sum is σ = 211680. Its totient is φ = 32256.

The previous prime is 84443. The next prime is 84449.

It is a happy number.

84448 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84443) by changing a digit.

84448 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 2898 + ... + 2926.

It is an arithmetic number, because the mean of its divisors is an integer number (4410).

284448 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 84448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840).

84448 is an abundant number, since it is smaller than the sum of its proper divisors (127232).

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

84448 is a wasteful number, since it uses less digits than its factorization.

84448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 51 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

The square root of 84448 is about 290.5993805912. The cubic root of 84448 is about 43.8729115112.

The spelling of 84448 in words is "eighty-four thousand, four hundred forty-eight".