42002324 has 96 divisors (see below), whose sum is σ = 98219520. Its totient is φ = 15257088.

The previous prime is 42002309. The next prime is 42002339. The reversal of 42002324 is 42320024.

42002324 = T₄₈₂ + T₄₈₃ + ... + T₇₁₃.

It is an interprime number because it is at equal distance from previous prime (42002309) and next prime (42002339).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242702 + ... + 242874.

It is an arithmetic number, because the mean of its divisors is an integer number (1023120).

Almost surely, 2^42002324 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 42002324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49109760).

42002324 is an abundant number, since it is smaller than the sum of its proper divisors (56217196).

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

42002324 is a wasteful number, since it uses less digits than its factorization.

42002324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 42002324 is about 6480.9199964203. The cubic root of 42002324 is about 347.6090757084.

Adding to 42002324 its reverse (42320024), we get a palindrome (84322348).

The spelling of 42002324 in words is "forty-two million, two thousand, three hundred twenty-four".