10488042 has 40 divisors (see below), whose sum is σ = 23770692. Its totient is φ = 3456000.

The previous prime is 10487999. The next prime is 10488059. The reversal of 10488042 is 24088401.

It can be written as a sum of positive squares in 2 ways, for example, as 7834401 + 2653641 = 2799^2 + 1629^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10487997 and 10488015.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16042 + ... + 16682.

Almost surely, 2^10488042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10488042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11885346).

10488042 is an abundant number, since it is smaller than the sum of its proper divisors (13282650).

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

10488042 is a wasteful number, since it uses less digits than its factorization.

10488042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 10488042 is about 3238.5246641025. The cubic root of 10488042 is about 218.8927979734.

The spelling of 10488042 in words is "ten million, four hundred eighty-eight thousand, forty-two".