45556736 has 44 divisors (see below), whose sum is σ = 96462828. Its totient is φ = 21430272.

The previous prime is 45556727. The next prime is 45556739. The reversal of 45556736 is 63765554.

It can be written as a sum of positive squares in 2 ways, for example, as 40960000 + 4596736 = 6400^2 + 2144^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45556693 and 45556702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45556739) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16100 + ... + 18716.

It is an arithmetic number, because the mean of its divisors is an integer number (2192337).

Almost surely, 2^45556736 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 45556736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48231414).

45556736 is an abundant number, since it is smaller than the sum of its proper divisors (50906092).

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

45556736 is a wasteful number, since it uses less digits than its factorization.

45556736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654 (or 2636 counting only the distinct ones).

The product of its digits is 378000, while the sum is 41.

The square root of 45556736 is about 6749.5730235327. The cubic root of 45556736 is about 357.1501746920.

The spelling of 45556736 in words is "forty-five million, five hundred fifty-six thousand, seven hundred thirty-six".