45023832 has 96 divisors (see below), whose sum is σ = 140493600. Its totient is φ = 12759552.

The previous prime is 45023831. The next prime is 45023851. The reversal of 45023832 is 23832054.

It is a junction number, because it is equal to n+sod(n) for n = 45023796 and 45023805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45023831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78844 + ... + 79412.

It is an arithmetic number, because the mean of its divisors is an integer number (1463475).

Almost surely, 2^45023832 is an apocalyptic number.

45023832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45023832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70246800).

45023832 is an abundant number, since it is smaller than the sum of its proper divisors (95469768).

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

45023832 is a wasteful number, since it uses less digits than its factorization.

45023832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 45023832 is about 6709.9800297765. The cubic root of 45023832 is about 355.7521103907.

Adding to 45023832 its reverse (23832054), we get a palindrome (68855886).

The spelling of 45023832 in words is "forty-five million, twenty-three thousand, eight hundred thirty-two".