10243792 has 40 divisors (see below), whose sum is σ = 22639176. Its totient is φ = 4448256.

The previous prime is 10243771. The next prime is 10243799. The reversal of 10243792 is 29734201.

It can be written as a sum of positive squares in 4 ways, for example, as 156816 + 10086976 = 396^2 + 3176^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10243792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10243799) by changing a digit.

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, 2088 + ... + 4984.

Almost surely, 2^10243792 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 10243792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11319588).

10243792 is an abundant number, since it is smaller than the sum of its proper divisors (12395384).

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

10243792 is a wasteful number, since it uses less digits than its factorization.

10243792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 10243792 is about 3200.5924451576. The cubic root of 10243792 is about 217.1802108935.

Adding to 10243792 its reverse (29734201), we get a palindrome (39977993).

The spelling of 10243792 in words is "ten million, two hundred forty-three thousand, seven hundred ninety-two".