248442642 has 144 divisors (see below), whose sum is σ = 673088832. Its totient is φ = 65862720.

The previous prime is 248442637. The next prime is 248442643. The reversal of 248442642 is 246244842.

It is a happy number.

248442642 is a `hidden beast` number, since 2 + 4 + 8 + 4 + 4 + 2 + 642 = 666.

248442642 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 248442597 and 248442606.

It is not an unprimeable number, because it can be changed into a prime (248442643) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 750417 + ... + 750747.

It is an arithmetic number, because the mean of its divisors is an integer number (4674228).

Almost surely, 2^248442642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248442642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336544416).

248442642 is an abundant number, since it is smaller than the sum of its proper divisors (424646190).

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

248442642 is a wasteful number, since it uses less digits than its factorization.

248442642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 403 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The square root of 248442642 is about 15762.0633801543. The cubic root of 248442642 is about 628.6497005195.

The spelling of 248442642 in words is "two hundred forty-eight million, four hundred forty-two thousand, six hundred forty-two".