48129300 has 108 divisors (see below), whose sum is σ = 153857340. Its totient is φ = 12579840.

The previous prime is 48129281. The next prime is 48129307. The reversal of 48129300 is 392184.

48129300 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 767376 + 47361924 = 876^2 + 6882^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48129307) 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 35 ways as a sum of consecutive naturals, for example, 47196 + ... + 48204.

It is an arithmetic number, because the mean of its divisors is an integer number (1424605).

Almost surely, 2^48129300 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 48129300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76928670).

48129300 is an abundant number, since it is smaller than the sum of its proper divisors (105728040).

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

48129300 is a wasteful number, since it uses less digits than its factorization.

48129300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 48129300 is about 6937.5283783203. The cubic root of 48129300 is about 363.7501505650.

The spelling of 48129300 in words is "forty-eight million, one hundred twenty-nine thousand, three hundred".