48678100 has 18 divisors (see below), whose sum is σ = 105631694. Its totient is φ = 19471200.

The previous prime is 48678083. The next prime is 48678101. The reversal of 48678100 is 187684.

It is a happy number.

48678100 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 3 ways, for example, as 3034564 + 45643536 = 1742^2 + 6756^2 .

It is a super-2 number, since 2×48678100² = 4739114839220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48678101) 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 5 ways as a sum of consecutive naturals, for example, 243291 + ... + 243490.

Almost surely, 2^48678100 is an apocalyptic number.

It is an amenable number.

48678100 is an abundant number, since it is smaller than the sum of its proper divisors (56953594).

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

48678100 is a wasteful number, since it uses less digits than its factorization.

48678100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486795 (or 486788 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 48678100 is about 6976.9692560595. The cubic root of 48678100 is about 365.1274965867.

The spelling of 48678100 in words is "forty-eight million, six hundred seventy-eight thousand, one hundred".