41689152 has 84 divisors (see below), whose sum is σ = 120516396. Its totient is φ = 13777920.

The previous prime is 41689139. The next prime is 41689159. The reversal of 41689152 is 25198614.

It can be written as a sum of positive squares in 2 ways, for example, as 12787776 + 28901376 = 3576^2 + 5376^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41689159) 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, 90202 + ... + 90662.

It is an arithmetic number, because the mean of its divisors is an integer number (1434719).

Almost surely, 2^41689152 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 41689152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60258198).

41689152 is an abundant number, since it is smaller than the sum of its proper divisors (78827244).

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

41689152 is a wasteful number, since it uses less digits than its factorization.

41689152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 623 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 41689152 is about 6456.7137151960. The cubic root of 41689152 is about 346.7429877984.

The spelling of 41689152 in words is "forty-one million, six hundred eighty-nine thousand, one hundred fifty-two".