42753024 has 66 divisors (see below), whose sum is σ = 123475040. Its totient is φ = 14247936.

The previous prime is 42753023. The next prime is 42753049. The reversal of 42753024 is 42035724.

It is a super-2 number, since 2×42753024² = 3655642122289152, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42753023) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6897 + ... + 11535.

Almost surely, 2^42753024 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 42753024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61737520).

42753024 is an abundant number, since it is smaller than the sum of its proper divisors (80722016).

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

42753024 is a wasteful number, since it uses less digits than its factorization.

42753024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4665 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 42753024 is about 6538.5796622814. The cubic root of 42753024 is about 349.6677772684.

Adding to 42753024 its reverse (42035724), we get a palindrome (84788748).

The spelling of 42753024 in words is "forty-two million, seven hundred fifty-three thousand, twenty-four".