248208642 has 48 divisors (see below), whose sum is σ = 600339168. Its totient is φ = 73463040.

The previous prime is 248208641. The next prime is 248208659. The reversal of 248208642 is 246802842.

It is a happy number.

248208642 is a `hidden beast` number, since 2 + 4 + 8 + 2 + 0 + 8 + 642 = 666.

248208642 is digitally balanced in base 2, 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 = 248208597 and 248208606.

It is not an unprimeable number, because it can be changed into a prime (248208641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6063 + ... + 23090.

It is an arithmetic number, because the mean of its divisors is an integer number (12507066).

Almost surely, 2^248208642 is an apocalyptic number.

248208642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

248208642 is an abundant number, since it is smaller than the sum of its proper divisors (352130526).

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

248208642 is a wasteful number, since it uses less digits than its factorization.

248208642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29215 (or 29212 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 248208642 is about 15754.6387454616. The cubic root of 248208642 is about 628.4522703239.

The spelling of 248208642 in words is "two hundred forty-eight million, two hundred eight thousand, six hundred forty-two".