45243576 has 128 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 12355200.

The previous prime is 45243557. The next prime is 45243577. The reversal of 45243576 is 67534254.

45243576 is a `hidden beast` number, since 45 + 2 + 43 + 576 = 666.

45243576 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45243576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45243577) 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, 34126 + ... + 35426.

It is an arithmetic number, because the mean of its divisors is an integer number (1171800).

Almost surely, 2^45243576 is an apocalyptic number.

45243576 is a gapful number since it is divisible by the number (46) 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 45243576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

45243576 is an abundant number, since it is smaller than the sum of its proper divisors (104746824).

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

45243576 is a wasteful number, since it uses less digits than its factorization.

45243576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1336 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 45243576 is about 6726.3345144291. The cubic root of 45243576 is about 356.3299344178.

It can be divided in two parts, 4524 and 3576, that added together give a square (8100 = 90²).

The spelling of 45243576 in words is "forty-five million, two hundred forty-three thousand, five hundred seventy-six".