45633042 has 72 divisors (see below), whose sum is σ = 122413824. Its totient is φ = 12029472.

The previous prime is 45633031. The next prime is 45633043. The reversal of 45633042 is 24033654.

It is a junction number, because it is equal to n+sod(n) for n = 45632997 and 45633015.

It is not an unprimeable number, because it can be changed into a prime (45633043) 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 35 ways as a sum of consecutive naturals, for example, 20223 + ... + 22365.

It is an arithmetic number, because the mean of its divisors is an integer number (1700192).

Almost surely, 2^45633042 is an apocalyptic number.

45633042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 45633042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61206912).

45633042 is an abundant number, since it is smaller than the sum of its proper divisors (76780782).

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

45633042 is a wasteful number, since it uses less digits than its factorization.

45633042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 45633042 is about 6755.2233123710. The cubic root of 45633042 is about 357.3494683053.

Adding to 45633042 its reverse (24033654), we get a palindrome (69666696).

It can be divided in two parts, 4 and 5633042, that added together give a triangular number (5633046 = T₃₃₅₆).

The spelling of 45633042 in words is "forty-five million, six hundred thirty-three thousand, forty-two".