45737850 has 48 divisors (see below), whose sum is σ = 114590880. Its totient is φ = 12072000.

The previous prime is 45737849. The next prime is 45737851. The reversal of 45737850 is 5873754.

It is an interprime number because it is at equal distance from previous prime (45737849) and next prime (45737851).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 45737799 and 45737808.

It is not an unprimeable number, because it can be changed into a prime (45737851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13641 + ... + 16659.

It is an arithmetic number, because the mean of its divisors is an integer number (2387310).

Almost surely, 2^45737850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45737850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57295440).

45737850 is an abundant number, since it is smaller than the sum of its proper divisors (68853030).

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

45737850 is a wasteful number, since it uses less digits than its factorization.

45737850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 45737850 is about 6762.9764157507. The cubic root of 45737850 is about 357.6228407304.

The spelling of 45737850 in words is "forty-five million, seven hundred thirty-seven thousand, eight hundred fifty".