52045840 has 240 divisors, whose sum is σ = 164882304. Its totient is φ = 15052800.

The previous prime is 52045837. The next prime is 52045853. The reversal of 52045840 is 4854025.

It is a super-2 number, since 2×52045840² = 5417538922611200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 52045799 and 52045808.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 733005 + ... + 733075.

Almost surely, 2^52045840 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 52045840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82441152).

52045840 is an abundant number, since it is smaller than the sum of its proper divisors (112836464).

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

52045840 is a wasteful number, since it uses less digits than its factorization.

52045840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 52045840 is about 7214.2802828834. The cubic root of 52045840 is about 373.3607618737.

Adding to 52045840 its reverse (4854025), we get a palindrome (56899865).

It can be divided in two parts, 520 and 45840, that added together give a triangular number (46360 = T₃₀₄).

The spelling of 52045840 in words is "fifty-two million, forty-five thousand, eight hundred forty".