83202048 has 156 divisors (see below), whose sum is σ = 250873948. Its totient is φ = 26542080.

The previous prime is 83202037. The next prime is 83202113. The reversal of 83202048 is 84020238.

It can be written as a sum of positive squares in 2 ways, for example, as 35426304 + 47775744 = 5952^2 + 6912^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1363938 + ... + 1363998.

Almost surely, 2^83202048 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 83202048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125436974).

83202048 is an abundant number, since it is smaller than the sum of its proper divisors (167671900).

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

83202048 is a wasteful number, since it uses less digits than its factorization.

83202048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 83202048 is about 9121.5156635287. The cubic root of 83202048 is about 436.5607352025.

The spelling of 83202048 in words is "eighty-three million, two hundred two thousand, forty-eight".