48265100 has 72 divisors (see below), whose sum is σ = 114034368. Its totient is φ = 17625600.

The previous prime is 48265093. The next prime is 48265103. The reversal of 48265100 is 156284.

48265100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 48265100.

It is not an unprimeable number, because it can be changed into a prime (48265103) 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 23 ways as a sum of consecutive naturals, for example, 177965 + ... + 178235.

Almost surely, 2^48265100 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 48265100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57017184).

48265100 is an abundant number, since it is smaller than the sum of its proper divisors (65769268).

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

48265100 is a wasteful number, since it uses less digits than its factorization.

48265100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 48265100 is about 6947.3088314829. The cubic root of 48265100 is about 364.0919443297.

The spelling of 48265100 in words is "forty-eight million, two hundred sixty-five thousand, one hundred".