30048 has 24 divisors (see below), whose sum is σ = 79128. Its totient is φ = 9984.

The previous prime is 30047. The next prime is 30059. The reversal of 30048 is 84003.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30047) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 61 + ... + 252.

It is an arithmetic number, because the mean of its divisors is an integer number (3297).

2³⁰⁰⁴⁸ is an apocalyptic number.

It is an amenable number.

30048 is an abundant number, since it is smaller than the sum of its proper divisors (49080).

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 (39564).

30048 is a wasteful number, since it uses less digits than its factorization.

30048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 30048 is about 173.3435894402. The cubic root of 30048 is about 31.0888881357.

30048 divided by its product of nonzero digits (96) gives a palindrome (313).

It can be divided in two parts, 300 and 48, that multiplied together give a square (14400 = 120²).

The spelling of 30048 in words is "thirty thousand, forty-eight".