51008832 has 112 divisors (see below), whose sum is σ = 171419520. Its totient is φ = 14570496.

The previous prime is 51008831. The next prime is 51008849. The reversal of 51008832 is 23880015.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 51008796 and 51008805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51008831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9988 + ... + 14204.

Almost surely, 2^51008832 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 51008832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85709760).

51008832 is an abundant number, since it is smaller than the sum of its proper divisors (120410688).

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

51008832 is a wasteful number, since it uses less digits than its factorization.

51008832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4245 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 51008832 is about 7142.0467654588. The cubic root of 51008832 is about 370.8643827836.

Adding to 51008832 its reverse (23880015), we get a palindrome (74888847).

The spelling of 51008832 in words is "fifty-one million, eight thousand, eight hundred thirty-two".