5152896 has 160 divisors (see below), whose sum is σ = 17772480. Its totient is φ = 1451520.

The previous prime is 5152877. The next prime is 5152909. The reversal of 5152896 is 6982515.

It is a happy number.

5152896 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5152896.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72541 + ... + 72611.

It is an arithmetic number, because the mean of its divisors is an integer number (111078).

Almost surely, 2^5152896 is an apocalyptic number.

5152896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5152896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8886240).

5152896 is an abundant number, since it is smaller than the sum of its proper divisors (12619584).

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

5152896 is an equidigital number, since it uses as much as digits as its factorization.

5152896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 83 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 5152896 is about 2269.9991189426. Note that the first 3 decimals coincide. The cubic root of 5152896 is about 172.7231139434.

The spelling of 5152896 in words is "five million, one hundred fifty-two thousand, eight hundred ninety-six".