51296000 has 144 divisors (see below), whose sum is σ = 146677440. Its totient is φ = 17510400.

The previous prime is 51295967. The next prime is 51296017. The reversal of 51296000 is 69215.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223886 + ... + 224114.

Almost surely, 2^51296000 is an apocalyptic number.

51296000 is a gapful number since it is divisible by the number (50) 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 51296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73338720).

51296000 is an abundant number, since it is smaller than the sum of its proper divisors (95381440).

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

51296000 is an equidigital number, since it uses as much as digits as its factorization.

51296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 51296000 is about 7162.1225904057. The cubic root of 51296000 is about 371.5590412320.

The spelling of 51296000 in words is "fifty-one million, two hundred ninety-six thousand".