42007746 has 64 divisors (see below), whose sum is σ = 97574400. Its totient is φ = 11923200.

The previous prime is 42007741. The next prime is 42007751. The reversal of 42007746 is 64770024.

It is an interprime number because it is at equal distance from previous prime (42007741) and next prime (42007751).

It is not an unprimeable number, because it can be changed into a prime (42007741) by changing a digit.

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, 174186 + ... + 174426.

It is an arithmetic number, because the mean of its divisors is an integer number (1524600).

Almost surely, 2^42007746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42007746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48787200).

42007746 is an abundant number, since it is smaller than the sum of its proper divisors (55566654).

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

42007746 is a wasteful number, since it uses less digits than its factorization.

42007746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415.

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 42007746 is about 6481.3382877304. The cubic root of 42007746 is about 347.6240324627.

The spelling of 42007746 in words is "forty-two million, seven thousand, seven hundred forty-six".