10049312 has 144 divisors (see below), whose sum is σ = 27147960. Its totient is φ = 3612672.

The previous prime is 10049279. The next prime is 10049327. The reversal of 10049312 is 21394001.

It can be written as a sum of positive squares in 4 ways, for example, as 8317456 + 1731856 = 2884^2 + 1316^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346514 + ... + 346542.

Almost surely, 2^10049312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10049312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13573980).

10049312 is an abundant number, since it is smaller than the sum of its proper divisors (17098648).

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

10049312 is a wasteful number, since it uses less digits than its factorization.

10049312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 10049312 is about 3170.0649835611. The cubic root of 10049312 is about 215.7970201062.

The spelling of 10049312 in words is "ten million, forty-nine thousand, three hundred twelve".