45829536 has 48 divisors (see below), whose sum is σ = 120657600. Its totient is φ = 15231488.

The previous prime is 45829517. The next prime is 45829561. The reversal of 45829536 is 63592854.

45829536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 54205 + ... + 55043.

It is an arithmetic number, because the mean of its divisors is an integer number (2513700).

Almost surely, 2^45829536 is an apocalyptic number.

It is an amenable number.

45829536 is an abundant number, since it is smaller than the sum of its proper divisors (74828064).

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

45829536 is a wasteful number, since it uses less digits than its factorization.

45829536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1413 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 45829536 is about 6769.7515464011. The cubic root of 45829536 is about 357.8616445697.

It can be divided in two parts, 45 and 829536, that multiplied together give a triangular number (37329120 = T₈₆₄₀).

The spelling of 45829536 in words is "forty-five million, eight hundred twenty-nine thousand, five hundred thirty-six".