48101824 has 28 divisors (see below), whose sum is σ = 96391984. Its totient is φ = 23814144.

The previous prime is 48101803. The next prime is 48101843. The reversal of 48101824 is 42810184.

It is a super-3 number, since 3×48101824³ (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48101792 and 48101801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2944 + ... + 10240.

Almost surely, 2^48101824 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 48101824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48195992).

48101824 is an abundant number, since it is smaller than the sum of its proper divisors (48290160).

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

48101824 is a wasteful number, since it uses less digits than its factorization.

48101824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7412 (or 7402 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 48101824 is about 6935.5478514678. The cubic root of 48101824 is about 363.6809182983.

The spelling of 48101824 in words is "forty-eight million, one hundred one thousand, eight hundred twenty-four".