48524 has 12 divisors (see below), whose sum is σ = 97104. Its totient is φ = 20784.

The previous prime is 48523. The next prime is 48527. The reversal of 48524 is 42584.

48524 is an admirable number.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 48524.

It is not an unprimeable number, because it can be changed into a prime (48523) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 839 + ... + 894.

It is an arithmetic number, because the mean of its divisors is an integer number (8092).

2⁴⁸⁵²⁴ is an apocalyptic number.

It is an amenable number.

48524 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 (48552).

48524 is a wasteful number, since it uses less digits than its factorization.

48524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1742 counting only the distinct ones).

The product of its digits is 1280, while the sum is 23.

The square root of 48524 is about 220.2816379093. The cubic root of 48524 is about 36.4741795243.

It can be divided in two parts, 48 and 524, that multiplied together give a palindrome (25152).

The spelling of 48524 in words is "forty-eight thousand, five hundred twenty-four".