43149312 has 72 divisors (see below), whose sum is σ = 124676370. Its totient is φ = 14376960.

The previous prime is 43149283. The next prime is 43149317. The reversal of 43149312 is 21394134.

It can be written as a sum of positive squares in only one way, i.e., 34292736 + 8856576 = 5856^2 + 2976^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (43149317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17262 + ... + 19602.

Almost surely, 2^43149312 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 43149312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62338185).

43149312 is an abundant number, since it is smaller than the sum of its proper divisors (81527058).

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

43149312 is a wasteful number, since it uses less digits than its factorization.

43149312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2346 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 43149312 is about 6568.8135915095. The cubic root of 43149312 is about 350.7448409776.

The spelling of 43149312 in words is "forty-three million, one hundred forty-nine thousand, three hundred twelve".