42007824 has 30 divisors (see below), whose sum is σ = 117563966. Its totient is φ = 14002560.

The previous prime is 42007813. The next prime is 42007831. The reversal of 42007824 is 42870024.

42007824 = T₂₀₇ + T₂₀₈ + ... + T₆₃₈.

It can be written as a sum of positive squares in only one way, i.e., 41990400 + 17424 = 6480^2 + 132^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 145717 + ... + 146004.

Almost surely, 2^42007824 is an apocalyptic number.

It is an amenable number.

42007824 is an abundant number, since it is smaller than the sum of its proper divisors (75556142).

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

42007824 is a wasteful number, since it uses less digits than its factorization.

42007824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291735 (or 291726 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 42007824 is about 6481.3443050034. The cubic root of 42007824 is about 347.6242476187.

Adding to 42007824 its reverse (42870024), we get a palindrome (84877848).

The spelling of 42007824 in words is "forty-two million, seven thousand, eight hundred twenty-four".