48446100 has 90 divisors (see below), whose sum is σ = 157069374. Its totient is φ = 12916800.

The previous prime is 48446071. The next prime is 48446117. The reversal of 48446100 is 164484.

48446100 is a `hidden beast` number, since 4 + 8 + 44 + 610 + 0 = 666.

48446100 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 171396 + 48274704 = 414^2 + 6948^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 5110 + ... + 11090.

Almost surely, 2^48446100 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 48446100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78534687).

48446100 is an abundant number, since it is smaller than the sum of its proper divisors (108623274).

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

48446100 is a wasteful number, since it uses less digits than its factorization.

48446100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6007 (or 5991 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 48446100 is about 6960.3232683547. The cubic root of 48446100 is about 364.5465062847.

The spelling of 48446100 in words is "forty-eight million, four hundred forty-six thousand, one hundred".