45529536 has 224 divisors, whose sum is σ = 145938240. Its totient is φ = 12386304.

The previous prime is 45529501. The next prime is 45529537. The reversal of 45529536 is 63592554.

45529536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 45529494 and 45529503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45529537) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1230510 + ... + 1230546.

It is an arithmetic number, because the mean of its divisors is an integer number (651510).

Almost surely, 2^45529536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45529536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72969120).

45529536 is an abundant number, since it is smaller than the sum of its proper divisors (100408704).

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

45529536 is a wasteful number, since it uses less digits than its factorization.

45529536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 101 counting only the distinct ones).

The product of its digits is 162000, while the sum is 39.

The square root of 45529536 is about 6747.5577804121. The cubic root of 45529536 is about 357.0790807871.

The spelling of 45529536 in words is "forty-five million, five hundred twenty-nine thousand, five hundred thirty-six".