41506146 has 144 divisors (see below), whose sum is σ = 112039200. Its totient is φ = 11024640.

The previous prime is 41506141. The next prime is 41506159. The reversal of 41506146 is 64160514.

41506146 is a `hidden beast` number, since 41 + 5 + 0 + 614 + 6 = 666.

41506146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41506141) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 703465 + ... + 703523.

It is an arithmetic number, because the mean of its divisors is an integer number (778050).

Almost surely, 2^41506146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41506146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56019600).

41506146 is an abundant number, since it is smaller than the sum of its proper divisors (70533054).

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

41506146 is a wasteful number, since it uses less digits than its factorization.

41506146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 41506146 is about 6442.5263678157. The cubic root of 41506146 is about 346.2348689882.

It can be divided in two parts, 4150 and 6146, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 41506146 in words is "forty-one million, five hundred six thousand, one hundred forty-six".