48752100 has 108 divisors (see below), whose sum is σ = 160909840. Its totient is φ = 12312000.

The previous prime is 48752083. The next prime is 48752147. The reversal of 48752100 is 125784.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15675 + ... + 18525.

Almost surely, 2^48752100 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 48752100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80454920).

48752100 is an abundant number, since it is smaller than the sum of its proper divisors (112157740).

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

48752100 is a wasteful number, since it uses less digits than its factorization.

48752100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 48752100 is about 6982.2704043885. The cubic root of 48752100 is about 365.3124240642.

Adding to 48752100 its reverse (125784), we get a palindrome (48877884).

The spelling of 48752100 in words is "forty-eight million, seven hundred fifty-two thousand, one hundred".