51145248 has 288 divisors, whose sum is σ = 183399552. Its totient is φ = 12165120.

The previous prime is 51145229. The next prime is 51145249. The reversal of 51145248 is 84254115.

It is not an unprimeable number, because it can be changed into a prime (51145249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1382286 + ... + 1382322.

It is an arithmetic number, because the mean of its divisors is an integer number (636804).

Almost surely, 2^51145248 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 51145248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91699776).

51145248 is an abundant number, since it is smaller than the sum of its proper divisors (132254304).

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

51145248 is a wasteful number, since it uses less digits than its factorization.

51145248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

The square root of 51145248 is about 7151.5905923088. The cubic root of 51145248 is about 371.1946968376.

The spelling of 51145248 in words is "fifty-one million, one hundred forty-five thousand, two hundred forty-eight".