42802144 has 96 divisors (see below), whose sum is σ = 108864000. Its totient is φ = 16074240.

The previous prime is 42802129. The next prime is 42802153. The reversal of 42802144 is 44120824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71157 + ... + 71755.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 2^42802144 is an apocalyptic number.

42802144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42802144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432000).

42802144 is an abundant number, since it is smaller than the sum of its proper divisors (66061856).

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

42802144 is a wasteful number, since it uses less digits than its factorization.

42802144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 42802144 is about 6542.3347514477. The cubic root of 42802144 is about 349.8016399831.

Adding to 42802144 its reverse (44120824), we get a palindrome (86922968).

The spelling of 42802144 in words is "forty-two million, eight hundred two thousand, one hundred forty-four".