45961024 has 28 divisors (see below), whose sum is σ = 92240100. Its totient is φ = 22719488.

The previous prime is 45961007. The next prime is 45961031. The reversal of 45961024 is 42016954.

45961024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2822400 + 43138624 = 1680^2 + 6568^2 .

It is a super-2 number, since 2×45961024² = 4224831454257152, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 1662 + ... + 9730.

Almost surely, 2^45961024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45961024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46120050).

45961024 is an abundant number, since it is smaller than the sum of its proper divisors (46279076).

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

45961024 is an equidigital number, since it uses as much as digits as its factorization.

45961024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8170 (or 8160 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 45961024 is about 6779.4560253755. The cubic root of 45961024 is about 358.2035607717.

Adding to 45961024 its reverse (42016954), we get a palindrome (87977978).

The spelling of 45961024 in words is "forty-five million, nine hundred sixty-one thousand, twenty-four".