Search a number
BaseRepresentation
bin111111010111010
31122111120
413322322
52014232
6410110
7163404
oct77272
948446
1032442
1122413
1216936
13119c7
14bb74
15992c
hex7eba

32442 has 8 divisors (see below), whose sum is σ = 64896. Its totient is φ = 10812.

The previous prime is 32441. The next prime is 32443. The reversal of 32442 is 24423.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (32441) and next prime (32443).

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

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32442.

It is not an unprimeable number, because it can be changed into a prime (32441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2698 + ... + 2709.

It is an arithmetic number, because the mean of its divisors is an integer number (8112).

232442 is an apocalyptic number.

32442 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 (32448).

32442 is a wasteful number, since it uses less digits than its factorization.

32442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5412.

The product of its digits is 192, while the sum is 15.

The square root of 32442 is about 180.1166288825. The cubic root of 32442 is about 31.8935263312.

Adding to 32442 its reverse (24423), we get a palindrome (56865).

It can be divided in two parts, 32 and 442, that added together give a palindrome (474).

The spelling of 32442 in words is "thirty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 5407 10814 16221 32442