48955984 has 80 divisors (see below), whose sum is σ = 119992320. Its totient is φ = 18794880.

The previous prime is 48955981. The next prime is 48955987.

48955984 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (48955981) and next prime (48955987).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48955981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97077 + ... + 97579.

It is an arithmetic number, because the mean of its divisors is an integer number (1499904).

Almost surely, 2^48955984 is an apocalyptic number.

48955984 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 48955984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59996160).

48955984 is an abundant number, since it is smaller than the sum of its proper divisors (71036336).

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

48955984 is a wasteful number, since it uses less digits than its factorization.

48955984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 602 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 52.

The square root of 48955984 is about 6996.8552936301. The cubic root of 48955984 is about 365.8209681094.

The spelling of 48955984 in words is "forty-eight million, nine hundred fifty-five thousand, nine hundred eighty-four".