45981306 has 72 divisors (see below), whose sum is σ = 119108340. Its totient is φ = 12773376.

The previous prime is 45981293. The next prime is 45981307. The reversal of 45981306 is 60318954.

It can be written as a sum of positive squares in 2 ways, for example, as 45441081 + 540225 = 6741^2 + 735^2 .

It is a super-2 number, since 2×45981306² = 4228561002931272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45981307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31930 + ... + 33338.

Almost surely, 2^45981306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45981306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59554170).

45981306 is an abundant number, since it is smaller than the sum of its proper divisors (73127034).

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

45981306 is a wasteful number, since it uses less digits than its factorization.

45981306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 45981306 is about 6780.9517031166. The cubic root of 45981306 is about 358.2562432085.

The spelling of 45981306 in words is "forty-five million, nine hundred eighty-one thousand, three hundred six".