45295950 has 96 divisors (see below), whose sum is σ = 129634560. Its totient is φ = 10252800.

The previous prime is 45295949. The next prime is 45295951. The reversal of 45295950 is 5959254.

45295950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45295949) and next prime (45295951).

It is a junction number, because it is equal to n+sod(n) for n = 45295899 and 45295908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45295951) 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 47 ways as a sum of consecutive naturals, for example, 187830 + ... + 188070.

It is an arithmetic number, because the mean of its divisors is an integer number (1350360).

Almost surely, 2^45295950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45295950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64817280).

45295950 is an abundant number, since it is smaller than the sum of its proper divisors (84338610).

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

45295950 is a wasteful number, since it uses less digits than its factorization.

45295950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 39.

The square root of 45295950 is about 6730.2265935108. The cubic root of 45295950 is about 356.4673773364.

The spelling of 45295950 in words is "forty-five million, two hundred ninety-five thousand, nine hundred fifty".