48541824 has 96 divisors (see below), whose sum is σ = 144600300. Its totient is φ = 15611904.

The previous prime is 48541793. The next prime is 48541841. The reversal of 48541824 is 42814584.

It can be written as a sum of positive squares in 2 ways, for example, as 43560000 + 4981824 = 6600^2 + 2232^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32682 + ... + 34134.

Almost surely, 2^48541824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48541824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72300150).

48541824 is an abundant number, since it is smaller than the sum of its proper divisors (96058476).

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

48541824 is a wasteful number, since it uses less digits than its factorization.

48541824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1487 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 48541824 is about 6967.1962797097. The cubic root of 48541824 is about 364.7864491735.

The spelling of 48541824 in words is "forty-eight million, five hundred forty-one thousand, eight hundred twenty-four".