51193296 has 320 divisors, whose sum is σ = 195225600. Its totient is φ = 12597120.

The previous prime is 51193291. The next prime is 51193327. The reversal of 51193296 is 69239115.

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 51193296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51193291) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2694375 + ... + 2694393.

It is an arithmetic number, because the mean of its divisors is an integer number (610080).

Almost surely, 2^51193296 is an apocalyptic number.

51193296 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 51193296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97612800).

51193296 is an abundant number, since it is smaller than the sum of its proper divisors (144032304).

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

51193296 is a wasteful number, since it uses less digits than its factorization.

51193296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 42 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 51193296 is about 7154.9490564224. The cubic root of 51193296 is about 371.3108991006.

The spelling of 51193296 in words is "fifty-one million, one hundred ninety-three thousand, two hundred ninety-six".