1009826048 has 72 divisors (see below), whose sum is σ = 2513138880. Its totient is φ = 393431040.

The previous prime is 1009826029. The next prime is 1009826053. The reversal of 1009826048 is 8406289001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5903 + ... + 45326.

Almost surely, 2^1009826048 is an apocalyptic number.

It is an amenable number.

1009826048 is an abundant number, since it is smaller than the sum of its proper divisors (1503312832).

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

1009826048 is an equidigital number, since it uses as much as digits as its factorization.

1009826048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51263 (or 51249 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 1009826048 is about 31777.7602734995. The cubic root of 1009826048 is about 1003.2646796020.

The spelling of 1009826048 in words is "one billion, nine million, eight hundred twenty-six thousand, forty-eight".