48642 has 24 divisors (see below), whose sum is σ = 108528. Its totient is φ = 14520.

The previous prime is 48623. The next prime is 48647. The reversal of 48642 is 24684.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48642.

It is not an unprimeable number, because it can be changed into a prime (48647) by changing a digit.

48642 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, 693 + ... + 759.

It is an arithmetic number, because the mean of its divisors is an integer number (4522).

2⁴⁸⁶⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54264).

48642 is an abundant number, since it is smaller than the sum of its proper divisors (59886).

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

48642 is a wasteful number, since it uses less digits than its factorization.

48642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 83 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 48642 is about 220.5493142134. The cubic root of 48642 is about 36.5037213945.

It can be divided in two parts, 486 and 42, that added together give a triangular number (528 = T₃₂).

The spelling of 48642 in words is "forty-eight thousand, six hundred forty-two".