248038092 has 96 divisors (see below), whose sum is σ = 694008000. Its totient is φ = 76317696.

The previous prime is 248038081. The next prime is 248038171. The reversal of 248038092 is 290830842.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96034 + ... + 98582.

It is an arithmetic number, because the mean of its divisors is an integer number (7229250).

Almost surely, 2^248038092 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 248038092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347004000).

248038092 is an abundant number, since it is smaller than the sum of its proper divisors (445969908).

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

248038092 is a wasteful number, since it uses less digits than its factorization.

248038092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 248038092 is about 15749.2251237958. The cubic root of 248038092 is about 628.3082958938.

The spelling of 248038092 in words is "two hundred forty-eight million, thirty-eight thousand, ninety-two".