48048 has 80 divisors (see below), whose sum is σ = 166656. Its totient is φ = 11520.

The previous prime is 48029. The next prime is 48049. The reversal of 48048 is 84084.

It is a super-2 number, since 2×48048² = 4617220608, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 11 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48049) by changing a digit.

48048 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 15 ways as a sum of consecutive naturals, for example, 3690 + ... + 3702.

2⁴⁸⁰⁴⁸ is an apocalyptic number.

48048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83328).

48048 is an abundant number, since it is smaller than the sum of its proper divisors (118608).

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

48048 is a wasteful number, since it uses less digits than its factorization.

48048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 48048 is about 219.1985401411. The cubic root of 48048 is about 36.3545219581.

48048 divided by its sum of digits (24) gives a palindrome (2002).

It can be divided in two parts, 480 and 48, that added together give a triangular number (528 = T₃₂).

The spelling of 48048 in words is "forty-eight thousand, forty-eight".