45755754 has 64 divisors (see below), whose sum is σ = 105259392. Its totient is φ = 13132800.

The previous prime is 45755753. The next prime is 45755761.

45755754 = 192² + 193² + ... + 524².

It is a happy number.

45755754 is nontrivially palindromic in base 10.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45755753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99894 + ... + 100350.

It is an arithmetic number, because the mean of its divisors is an integer number (1644678).

Almost surely, 2^45755754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45755754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52629696).

45755754 is an abundant number, since it is smaller than the sum of its proper divisors (59503638).

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

45755754 is a wasteful number, since it uses less digits than its factorization.

45755754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551.

The product of its digits is 490000, while the sum is 42.

The square root of 45755754 is about 6764.2999637804. The cubic root of 45755754 is about 357.6694982511.

The spelling of 45755754 in words is "forty-five million, seven hundred fifty-five thousand, seven hundred fifty-four".