48683712 has 224 divisors, whose sum is σ = 166786560. Its totient is φ = 12165120.

The previous prime is 48683711. The next prime is 48683729. The reversal of 48683712 is 21738684.

48683712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48683711) 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 31 ways as a sum of consecutive naturals, for example, 546964 + ... + 547052.

Almost surely, 2^48683712 is an apocalyptic number.

48683712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48683712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83393280).

48683712 is an abundant number, since it is smaller than the sum of its proper divisors (118102848).

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

48683712 is a wasteful number, since it uses less digits than its factorization.

48683712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 149 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 48683712 is about 6977.3714248275. The cubic root of 48683712 is about 365.1415276518.

The spelling of 48683712 in words is "forty-eight million, six hundred eighty-three thousand, seven hundred twelve".