48038100 has 72 divisors (see below), whose sum is σ = 151636128. Its totient is φ = 11644800.

The previous prime is 48038077. The next prime is 48038119. The reversal of 48038100 is 183084.

It is a super-2 number, since 2×48038100² = 4615318103220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3979 + ... + 10578.

Almost surely, 2^48038100 is an apocalyptic number.

It is an amenable number.

48038100 is an abundant number, since it is smaller than the sum of its proper divisors (103598028).

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

48038100 is a wasteful number, since it uses less digits than its factorization.

48038100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14585 (or 14578 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 48038100 is about 6930.9523155191. The cubic root of 48038100 is about 363.5202491011.

The spelling of 48038100 in words is "forty-eight million, thirty-eight thousand, one hundred".