48209824 has 72 divisors (see below), whose sum is σ = 108851148. Its totient is φ = 20889600.

The previous prime is 48209789. The next prime is 48209831. The reversal of 48209824 is 42890284.

It can be written as a sum of positive squares in 6 ways, for example, as 42771600 + 5438224 = 6540^2 + 2332^2 .

It is a super-2 number, since 2×48209824² = 4648374260221952, which contains 22 as substring.

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, 120024 + ... + 120424.

Almost surely, 2^48209824 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 48209824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54425574).

48209824 is an abundant number, since it is smaller than the sum of its proper divisors (60641324).

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

48209824 is a wasteful number, since it uses less digits than its factorization.

48209824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 48209824 is about 6943.3294607126. The cubic root of 48209824 is about 363.9528981439.

The spelling of 48209824 in words is "forty-eight million, two hundred nine thousand, eight hundred twenty-four".