838249152 has 112 divisors (see below), whose sum is σ = 2403969792. Its totient is φ = 256250880.

The previous prime is 838249109. The next prime is 838249157. The reversal of 838249152 is 251942838.

838249152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (838249157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415827 + ... + 417837.

It is an arithmetic number, because the mean of its divisors is an integer number (21464016).

Almost surely, 2^838249152 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 838249152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201984896).

838249152 is an abundant number, since it is smaller than the sum of its proper divisors (1565720640).

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

838249152 is a wasteful number, since it uses less digits than its factorization.

838249152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2196 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 838249152 is about 28952.5327389505. The cubic root of 838249152 is about 942.8827872862.

The spelling of 838249152 in words is "eight hundred thirty-eight million, two hundred forty-nine thousand, one hundred fifty-two".