45981952 has 36 divisors (see below), whose sum is σ = 93543660. Its totient is φ = 22550528.

The previous prime is 45981941. The next prime is 45981953. The reversal of 45981952 is 25918954.

It can be written as a sum of positive squares in 2 ways, for example, as 40144896 + 5837056 = 6336^2 + 2416^2 .

It is a super-2 number, since 2×45981952² = 4228679819460608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45981899 and 45981908.

It is not an unprimeable number, because it can be changed into a prime (45981953) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11874 + ... + 15262.

It is an arithmetic number, because the mean of its divisors is an integer number (2598435).

Almost surely, 2^45981952 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 45981952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46771830).

45981952 is an abundant number, since it is smaller than the sum of its proper divisors (47561708).

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

45981952 is an equidigital number, since it uses as much as digits as its factorization.

45981952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3458 (or 3444 counting only the distinct ones).

The product of its digits is 129600, while the sum is 43.

The square root of 45981952 is about 6780.9993363810. Note that the first 3 decimals coincide. The cubic root of 45981952 is about 358.2579209370.

The spelling of 45981952 in words is "forty-five million, nine hundred eighty-one thousand, nine hundred fifty-two".