48611800 has 48 divisors (see below), whose sum is σ = 114334200. Its totient is φ = 19219200.

The previous prime is 48611791. The next prime is 48611803. The reversal of 48611800 is 811684.

48611800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48611803) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 16435 + ... + 19165.

Almost surely, 2^48611800 is an apocalyptic number.

48611800 is a gapful number since it is divisible by the number (40) 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 48611800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57167100).

48611800 is an abundant number, since it is smaller than the sum of its proper divisors (65722400).

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

48611800 is a wasteful number, since it uses less digits than its factorization.

48611800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 48611800 is about 6972.2162903915. The cubic root of 48611800 is about 364.9616523170.

The spelling of 48611800 in words is "forty-eight million, six hundred eleven thousand, eight hundred".