45416382 has 48 divisors (see below), whose sum is σ = 102041856. Its totient is φ = 13469720.

The previous prime is 45416381. The next prime is 45416383. The reversal of 45416382 is 28361454.

It is an interprime number because it is at equal distance from previous prime (45416381) and next prime (45416383).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45416381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 966283 + ... + 966329.

It is an arithmetic number, because the mean of its divisors is an integer number (2125872).

Almost surely, 2^45416382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45416382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51020928).

45416382 is an abundant number, since it is smaller than the sum of its proper divisors (56625474).

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

45416382 is an frugal number, since it uses more digits than its factorization.

45416382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 63 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 45416382 is about 6739.1677527719. The cubic root of 45416382 is about 356.7830206265.

It can be divided in two parts, 454 and 16382, that added together give a triangular number (16836 = T₁₈₃).

The spelling of 45416382 in words is "forty-five million, four hundred sixteen thousand, three hundred eighty-two".