48616100 has 36 divisors (see below), whose sum is σ = 113615124. Its totient is φ = 17950080.

The previous prime is 48616067. The next prime is 48616129. The reversal of 48616100 is 161684.

48616100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 9278116 + 39337984 = 3046^2 + 6272^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 48616100.

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 11 ways as a sum of consecutive naturals, for example, 17399 + ... + 19998.

Almost surely, 2^48616100 is an apocalyptic number.

It is an amenable number.

48616100 is an abundant number, since it is smaller than the sum of its proper divisors (64999024).

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

48616100 is a wasteful number, since it uses less digits than its factorization.

48616100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37424 (or 37417 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 48616100 is about 6972.5246503688. The cubic root of 48616100 is about 364.9724130023.

Adding to 48616100 its reverse (161684), we get a palindrome (48777784).

The spelling of 48616100 in words is "forty-eight million, six hundred sixteen thousand, one hundred".