83929248 has 144 divisors (see below), whose sum is σ = 266240520. Its totient is φ = 24901632.

The previous prime is 83929193. The next prime is 83929253. The reversal of 83929248 is 84292938.

It can be written as a sum of positive squares in 4 ways, for example, as 37307664 + 46621584 = 6108^2 + 6828^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108190 + ... + 108962.

Almost surely, 2^83929248 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 83929248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133120260).

83929248 is an abundant number, since it is smaller than the sum of its proper divisors (182311272).

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

83929248 is a wasteful number, since it uses less digits than its factorization.

83929248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 820 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 83929248 is about 9161.2907387551. The cubic root of 83929248 is about 437.8289192365.

The spelling of 83929248 in words is "eighty-three million, nine hundred twenty-nine thousand, two hundred forty-eight".