42624819 has 16 divisors (see below), whose sum is σ = 65894400. Its totient is φ = 27180648.

The previous prime is 42624811. The next prime is 42624823. The reversal of 42624819 is 91842624.

42624819 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42624819 - 2³ = 42624811 is a prime.

It is a super-2 number, since 2×42624819² = 3633750389565522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42624811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33699 + ... + 34940.

It is an arithmetic number, because the mean of its divisors is an integer number (4118400).

Almost surely, 2^42624819 is an apocalyptic number.

42624819 is a deficient number, since it is larger than the sum of its proper divisors (23269581).

42624819 is a wasteful number, since it uses less digits than its factorization.

42624819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68671 (or 68665 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 42624819 is about 6528.7685668892. The cubic root of 42624819 is about 349.3179069493.

The spelling of 42624819 in words is "forty-two million, six hundred twenty-four thousand, eight hundred nineteen".