248242016 has 72 divisors (see below), whose sum is σ = 544769064. Its totient is φ = 110423040.

The previous prime is 248242009. The next prime is 248242019. The reversal of 248242016 is 610242842.

It is a self number, because there is not a number n which added to its sum of digits gives 248242016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248242019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2196776 + ... + 2196888.

It is an arithmetic number, because the mean of its divisors is an integer number (7566237).

Almost surely, 2^248242016 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 248242016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272384532).

248242016 is an abundant number, since it is smaller than the sum of its proper divisors (296527048).

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

248242016 is a wasteful number, since it uses less digits than its factorization.

248242016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 248242016 is about 15755.6978899698. The cubic root of 248242016 is about 628.4804361792.

Adding to 248242016 its reverse (610242842), we get a palindrome (858484858).

The spelling of 248242016 in words is "two hundred forty-eight million, two hundred forty-two thousand, sixteen".