10049824 has 24 divisors (see below), whose sum is σ = 20124720. Its totient is φ = 4938816.

The previous prime is 10049821. The next prime is 10049833. The reversal of 10049824 is 42894001.

It is a junction number, because it is equal to n+sod(n) for n = 10049792 and 10049801.

It is not an unprimeable number, because it can be changed into a prime (10049821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 774 + ... + 4549.

It is an arithmetic number, because the mean of its divisors is an integer number (838530).

Almost surely, 2^10049824 is an apocalyptic number.

It is an amenable number.

10049824 is an abundant number, since it is smaller than the sum of its proper divisors (10074896).

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

10049824 is an equidigital number, since it uses as much as digits as its factorization.

10049824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5392 (or 5384 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 10049824 is about 3170.1457379748. The cubic root of 10049824 is about 215.8006849076.

The spelling of 10049824 in words is "ten million, forty-nine thousand, eight hundred twenty-four".