48966984 has 128 divisors (see below), whose sum is σ = 152668800. Its totient is φ = 14411520.

The previous prime is 48966979. The next prime is 48967003.

48966984 is nontrivially palindromic in base 10.

48966984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 48966984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87634 + ... + 88190.

It is an arithmetic number, because the mean of its divisors is an integer number (1192725).

Almost surely, 2^48966984 is an apocalyptic number.

48966984 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 48966984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76334400).

48966984 is an abundant number, since it is smaller than the sum of its proper divisors (103701816).

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

48966984 is a wasteful number, since it uses less digits than its factorization.

48966984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 610 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 48966984 is about 6997.6413169010. The cubic root of 48966984 is about 365.8483650278.

The spelling of 48966984 in words is "forty-eight million, nine hundred sixty-six thousand, nine hundred eighty-four".