248748192 has 192 divisors, whose sum is σ = 904780800. Its totient is φ = 64592640.

The previous prime is 248748191. The next prime is 248748211. The reversal of 248748192 is 291847842.

248748192 is a `hidden beast` number, since 2 + 4 + 87 + 481 + 92 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (248748191) by changing a digit.

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, 64659 + ... + 68397.

It is an arithmetic number, because the mean of its divisors is an integer number (4712400).

Almost surely, 2^248748192 is an apocalyptic number.

248748192 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248748192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452390400).

248748192 is an abundant number, since it is smaller than the sum of its proper divisors (656032608).

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

248748192 is a wasteful number, since it uses less digits than its factorization.

248748192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 3762 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 248748192 is about 15771.7529780301. The cubic root of 248748192 is about 628.9073122600.

The spelling of 248748192 in words is "two hundred forty-eight million, seven hundred forty-eight thousand, one hundred ninety-two".