42504272 has 20 divisors (see below), whose sum is σ = 83084340. Its totient is φ = 21063168.

The previous prime is 42504271. The next prime is 42504277. The reversal of 42504272 is 27240524.

It can be written as a sum of positive squares in 2 ways, for example, as 21307456 + 21196816 = 4616^2 + 4604^2 .

It is a super-2 number, since 2×42504272² = 3613226276499968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) 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 (42504271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9947 + ... + 13562.

It is an arithmetic number, because the mean of its divisors is an integer number (4154217).

Almost surely, 2^42504272 is an apocalyptic number.

It is an amenable number.

42504272 is a deficient number, since it is larger than the sum of its proper divisors (40580068).

42504272 is a wasteful number, since it uses less digits than its factorization.

42504272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23630 (or 23624 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 26.

The square root of 42504272 is about 6519.5300444127. The cubic root of 42504272 is about 348.9882947227.

Adding to 42504272 its reverse (27240524), we get a palindrome (69744796).

It can be divided in two parts, 425042 and 72, that multiplied together give a square (30603024 = 5532²).

The spelling of 42504272 in words is "forty-two million, five hundred four thousand, two hundred seventy-two".