45726849 has 60 divisors (see below), whose sum is σ = 81688068. Its totient is φ = 25401600.

The previous prime is 45726847. The next prime is 45726851. The reversal of 45726849 is 94862754.

It is a happy number.

45726849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45726847) and next prime (45726851).

It can be written as a sum of positive squares in 2 ways, for example, as 14288400 + 31438449 = 3780^2 + 5607^2 .

It is not a de Polignac number, because 45726849 - 2¹ = 45726847 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45726847) 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 59 ways as a sum of consecutive naturals, for example, 162589 + ... + 162869.

Almost surely, 2^45726849 is an apocalyptic number.

45726849 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

45726849 is a deficient number, since it is larger than the sum of its proper divisors (35961219).

45726849 is a wasteful number, since it uses less digits than its factorization.

45726849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 332 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 45726849 is about 6762.1630415127. The cubic root of 45726849 is about 357.5941662712.

The spelling of 45726849 in words is "forty-five million, seven hundred twenty-six thousand, eight hundred forty-nine".