45951952 has 40 divisors (see below), whose sum is σ = 94795272. Its totient is φ = 21504000.

The previous prime is 45951931. The next prime is 45951977. The reversal of 45951952 is 25915954.

It can be written as a sum of positive squares in 4 ways, for example, as 27081616 + 18870336 = 5204^2 + 4344^2 .

It is a super-2 number, since 2×45951952² = 4223163785220608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65202 + ... + 65902.

Almost surely, 2^45951952 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 45951952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47397636).

45951952 is an abundant number, since it is smaller than the sum of its proper divisors (48843320).

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

45951952 is a wasteful number, since it uses less digits than its factorization.

45951952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 961 counting only the distinct ones).

The product of its digits is 81000, while the sum is 40.

The square root of 45951952 is about 6778.7869121252. The cubic root of 45951952 is about 358.1799912611.

The spelling of 45951952 in words is "forty-five million, nine hundred fifty-one thousand, nine hundred fifty-two".