45751950 has 72 divisors (see below), whose sum is σ = 123695208. Its totient is φ = 12123840.

The previous prime is 45751919. The next prime is 45751961. The reversal of 45751950 is 5915754.

45751950 = 240² + 241² + ... + 532².

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 131677 + ... + 132023.

It is an arithmetic number, because the mean of its divisors is an integer number (1717989).

Almost surely, 2^45751950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45751950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61847604).

45751950 is an abundant number, since it is smaller than the sum of its proper divisors (77943258).

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

45751950 is a wasteful number, since it uses less digits than its factorization.

45751950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 45751950 is about 6764.0187758462. The cubic root of 45751950 is about 357.6595861100.

The spelling of 45751950 in words is "forty-five million, seven hundred fifty-one thousand, nine hundred fifty".