248149692 has 72 divisors (see below), whose sum is σ = 723655296. Its totient is φ = 70229664.

The previous prime is 248149687. The next prime is 248149771. The reversal of 248149692 is 296941842.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22363 + ... + 31565.

It is an arithmetic number, because the mean of its divisors is an integer number (10050768).

Almost surely, 2^248149692 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 248149692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361827648).

248149692 is an abundant number, since it is smaller than the sum of its proper divisors (475505604).

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

248149692 is a wasteful number, since it uses less digits than its factorization.

248149692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9327 (or 9322 counting only the distinct ones).

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

The square root of 248149692 is about 15752.7677568102. The cubic root of 248149692 is about 628.4025135354.

The spelling of 248149692 in words is "two hundred forty-eight million, one hundred forty-nine thousand, six hundred ninety-two".