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83442 = 2313907
BaseRepresentation
bin10100010111110010
311020110110
4110113302
510132232
61442150
7465162
oct242762
9136413
1083442
1157767
1240356
132bc98
14225a2
1519acc
hex145f2

83442 has 8 divisors (see below), whose sum is σ = 166896. Its totient is φ = 27812.

The previous prime is 83437. The next prime is 83443. The reversal of 83442 is 24438.

Added to its reverse (24438) it gives a triangular number (107880 = T464).

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

83442 is an admirable number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (83443) by changing a digit.

83442 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6948 + ... + 6959.

It is an arithmetic number, because the mean of its divisors is an integer number (20862).

283442 is an apocalyptic number.

83442 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83448).

83442 is a wasteful number, since it uses less digits than its factorization.

83442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13912.

The product of its digits is 768, while the sum is 21.

The square root of 83442 is about 288.8632894641. The cubic root of 83442 is about 43.6980008057.

Adding to 83442 its reverse (24438), we get a triangular number (107880 = T464).

It can be divided in two parts, 83 and 442, that added together give a palindrome (525).

The spelling of 83442 in words is "eighty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 13907 27814 41721 83442