51048000 has 168 divisors, whose sum is σ = 182864760. Its totient is φ = 13593600.

The previous prime is 51047989. The next prime is 51048007. The reversal of 51048000 is 84015.

It can be written as a sum of positive squares in 4 ways, for example, as 8433216 + 42614784 = 2904^2 + 6528^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (51048007) 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 23 ways as a sum of consecutive naturals, for example, 71646 + ... + 72354.

Almost surely, 2^51048000 is an apocalyptic number.

51048000 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 51048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91432380).

51048000 is an abundant number, since it is smaller than the sum of its proper divisors (131816760).

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

51048000 is a wasteful number, since it uses less digits than its factorization.

51048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 51048000 is about 7144.7883103700. The cubic root of 51048000 is about 370.9592833407.

The spelling of 51048000 in words is "fifty-one million, forty-eight thousand".