49524 has 12 divisors (see below), whose sum is σ = 115584. Its totient is φ = 16504.

The previous prime is 49523. The next prime is 49529. The reversal of 49524 is 42594.

49524 = T₆₅ + T₆₆ + ... + T₈₂.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 49494 and 49503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49523) 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, 2052 + ... + 2075.

It is an arithmetic number, because the mean of its divisors is an integer number (9632).

2⁴⁹⁵²⁴ is an apocalyptic number.

It is an amenable number.

49524 is an abundant number, since it is smaller than the sum of its proper divisors (66060).

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 (57792).

49524 is a wasteful number, since it uses less digits than its factorization.

49524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4134 (or 4132 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 49524 is about 222.5398840658. The cubic root of 49524 is about 36.7230354286.

Subtracting from 49524 its product of digits (1440), we obtain a palindrome (48084).

The spelling of 49524 in words is "forty-nine thousand, five hundred twenty-four".