48933984 has 96 divisors (see below), whose sum is σ = 141523200. Its totient is φ = 14681600.

The previous prime is 48933971. The next prime is 48934019.

48933984 is nontrivially palindromic in base 10.

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

It is a super-2 number, since 2×48933984² = 4789069580224512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 157189 + ... + 157499.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^48933984 is an apocalyptic number.

48933984 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 48933984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

48933984 is an abundant number, since it is smaller than the sum of its proper divisors (92589216).

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

48933984 is a wasteful number, since it uses less digits than its factorization.

48933984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 476 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 48933984 is about 6995.2829821245. The cubic root of 48933984 is about 365.7661619584.

The spelling of 48933984 in words is "forty-eight million, nine hundred thirty-three thousand, nine hundred eighty-four".