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BaseRepresentation
bin10000011111010
3102120200
42003322
5232232
6103030
733420
oct20372
912520
108442
116385
124a76
133ac5
143110
15277c
hex20fa

8442 has 24 divisors (see below), whose sum is σ = 21216. Its totient is φ = 2376.

The previous prime is 8431. The next prime is 8443. The reversal of 8442 is 2448.

It is a happy number.

8442 is nontrivially palindromic in base 5.

8442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a plaindrome in base 15.

It is a nialpdrome in base 10 and base 14.

It is not an unprimeable number, because it can be changed into a prime (8443) by changing a digit.

8442 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 11 ways as a sum of consecutive naturals, for example, 93 + ... + 159.

It is an arithmetic number, because the mean of its divisors is an integer number (884).

28442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10608).

8442 is an abundant number, since it is smaller than the sum of its proper divisors (12774).

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

8442 is a wasteful number, since it uses less digits than its factorization.

8442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 79 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 8442 is about 91.8803569867. The cubic root of 8442 is about 20.3617507047.

The spelling of 8442 in words is "eight thousand, four hundred forty-two".