248848842 has 48 divisors (see below), whose sum is σ = 564754176. Its totient is φ = 72969600.

The previous prime is 248848841. The next prime is 248848849.

248848842 is nontrivially palindromic in base 10.

248848842 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 248848791 and 248848800.

It is not an unprimeable number, because it can be changed into a prime (248848841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16978 + ... + 28034.

It is an arithmetic number, because the mean of its divisors is an integer number (11765712).

Almost surely, 2^248848842 is an apocalyptic number.

248848842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 248848842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282377088).

248848842 is an abundant number, since it is smaller than the sum of its proper divisors (315905334).

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

248848842 is a wasteful number, since it uses less digits than its factorization.

248848842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11115 (or 11104 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 48.

The square root of 248848842 is about 15774.9434864281. The cubic root of 248848842 is about 628.9921249171.

The spelling of 248848842 in words is "two hundred forty-eight million, eight hundred forty-eight thousand, eight hundred forty-two".