42146208 has 72 divisors (see below), whose sum is σ = 129084228. Its totient is φ = 12966912.

The previous prime is 42146207. The next prime is 42146233. The reversal of 42146208 is 80264124.

It can be written as a sum of positive squares in 2 ways, for example, as 42146064 + 144 = 6492^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (42146207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1885 + ... + 9372.

Almost surely, 2^42146208 is an apocalyptic number.

42146208 is a gapful number since it is divisible by the number (48) 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 42146208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64542114).

42146208 is an abundant number, since it is smaller than the sum of its proper divisors (86938020).

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

42146208 is a wasteful number, since it uses less digits than its factorization.

42146208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11286 (or 11275 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 42146208 is about 6492.0110905635. The cubic root of 42146208 is about 348.0055488612.

The spelling of 42146208 in words is "forty-two million, one hundred forty-six thousand, two hundred eight".