42007284 has 144 divisors (see below), whose sum is σ = 123492096. Its totient is φ = 11923200.

The previous prime is 42007279. The next prime is 42007291. The reversal of 42007284 is 48270024.

42007284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42007284² = 3529223818113312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 688614 + ... + 688674.

It is an arithmetic number, because the mean of its divisors is an integer number (857584).

Almost surely, 2^42007284 is an apocalyptic number.

42007284 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42007284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61746048).

42007284 is an abundant number, since it is smaller than the sum of its proper divisors (81484812).

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

42007284 is a wasteful number, since it uses less digits than its factorization.

42007284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 161 counting only the distinct ones).

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

The square root of 42007284 is about 6481.3026468450. The cubic root of 42007284 is about 347.6227580716.

The spelling of 42007284 in words is "forty-two million, seven thousand, two hundred eighty-four".