45532032 has 128 divisors (see below), whose sum is σ = 148968960. Its totient is φ = 11999232.

The previous prime is 45532027. The next prime is 45532093. The reversal of 45532032 is 23023554.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 45531993 and 45532011.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 34293 + ... + 35595.

It is an arithmetic number, because the mean of its divisors is an integer number (1163820).

Almost surely, 2^45532032 is an apocalyptic number.

45532032 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 45532032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74484480).

45532032 is an abundant number, since it is smaller than the sum of its proper divisors (103436928).

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

45532032 is a wasteful number, since it uses less digits than its factorization.

45532032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 45532032 is about 6747.7427336851. The cubic root of 45532032 is about 357.0856058781.

Adding to 45532032 its reverse (23023554), we get a palindrome (68555586).

The spelling of 45532032 in words is "forty-five million, five hundred thirty-two thousand, thirty-two".