10042784 has 24 divisors (see below), whose sum is σ = 20935908. Its totient is φ = 4725760.

The previous prime is 10042777. The next prime is 10042807. The reversal of 10042784 is 48724001.

It can be written as a sum of positive squares in 2 ways, for example, as 9859600 + 183184 = 3140^2 + 428^2 .

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 3 ways as a sum of consecutive naturals, for example, 8687 + ... + 9774.

Almost surely, 2^10042784 is an apocalyptic number.

It is an amenable number.

10042784 is an abundant number, since it is smaller than the sum of its proper divisors (10893124).

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

10042784 is a wasteful number, since it uses less digits than its factorization.

10042784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18488 (or 18480 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 10042784 is about 3169.0351844055. The cubic root of 10042784 is about 215.7502829733.

Adding to 10042784 its reverse (48724001), we get a palindrome (58766785).

The spelling of 10042784 in words is "ten million, forty-two thousand, seven hundred eighty-four".