45301950 has 96 divisors (see below), whose sum is σ = 130348800. Its totient is φ = 11547360.

The previous prime is 45301939. The next prime is 45301961. The reversal of 45301950 is 5910354.

45301950 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 (45301939) and next prime (45301961).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 30321 + ... + 31779.

It is an arithmetic number, because the mean of its divisors is an integer number (1357800).

Almost surely, 2^45301950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45301950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65174400).

45301950 is an abundant number, since it is smaller than the sum of its proper divisors (85046850).

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

45301950 is a wasteful number, since it uses less digits than its factorization.

45301950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 45301950 is about 6730.6723289728. The cubic root of 45301950 is about 356.4831161227.

The spelling of 45301950 in words is "forty-five million, three hundred one thousand, nine hundred fifty".