48533584 has 80 divisors (see below), whose sum is σ = 107832384. Its totient is φ = 21141120.

The previous prime is 48533561. The next prime is 48533591.

48533584 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 915702 + ... + 915754.

Almost surely, 2^48533584 is an apocalyptic number.

48533584 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48533584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53916192).

48533584 is an abundant number, since it is smaller than the sum of its proper divisors (59298800).

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

48533584 is a wasteful number, since it uses less digits than its factorization.

48533584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 109 counting only the distinct ones).

The product of its digits is 230400, while the sum is 40.

The square root of 48533584 is about 6966.6049120070. The cubic root of 48533584 is about 364.7658071086.

The spelling of 48533584 in words is "forty-eight million, five hundred thirty-three thousand, five hundred eighty-four".