48981100 has 72 divisors (see below), whose sum is σ = 122492160. Its totient is φ = 16653120.

The previous prime is 48981089. The next prime is 48981133. The reversal of 48981100 is 118984.

48981100 = 392² + 393² + ... + 591².

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116691 + ... + 117109.

It is an arithmetic number, because the mean of its divisors is an integer number (1701280).

Almost surely, 2^48981100 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 48981100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61246080).

48981100 is an abundant number, since it is smaller than the sum of its proper divisors (73511060).

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

48981100 is a wasteful number, since it uses less digits than its factorization.

48981100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 48981100 is about 6998.6498697963. The cubic root of 48981100 is about 365.8835167357.

The spelling of 48981100 in words is "forty-eight million, nine hundred eighty-one thousand, one hundred".