51048 has 24 divisors (see below), whose sum is σ = 138450. Its totient is φ = 16992.

The previous prime is 51047. The next prime is 51059. The reversal of 51048 is 84015.

51048 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 49284 + 1764 = 222^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a self number, because there is not a number n which added to its sum of digits gives 51048.

It is not an unprimeable number, because it can be changed into a prime (51043) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 283 + ... + 426.

2⁵¹⁰⁴⁸ is an apocalyptic number.

It is an amenable number.

51048 is an abundant number, since it is smaller than the sum of its proper divisors (87402).

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

51048 is a wasteful number, since it uses less digits than its factorization.

51048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 714 counting only the distinct ones).

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

The square root of 51048 is about 225.9380446052. The cubic root of 51048 is about 37.0959283341.

The spelling of 51048 in words is "fifty-one thousand, forty-eight".