48930 has 32 divisors (see below), whose sum is σ = 134784. Its totient is φ = 11136.

The previous prime is 48907. The next prime is 48947. The reversal of 48930 is 3984.

48930 = 19² + 20² + ... + 53².

It is a Curzon number.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 48930.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48930.

It is an unprimeable number.

48930 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94 + ... + 326.

It is an arithmetic number, because the mean of its divisors is an integer number (4212).

2⁴⁸⁹³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67392).

48930 is an abundant number, since it is smaller than the sum of its proper divisors (85854).

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

48930 is a wasteful number, since it uses less digits than its factorization.

48930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 48930 is about 221.2012658192. The cubic root of 48930 is about 36.5756235306.

Adding to 48930 its product of nonzero digits (864), we get a palindrome (49794).

The spelling of 48930 in words is "forty-eight thousand, nine hundred thirty".