51506048 has 64 divisors (see below), whose sum is σ = 113134320. Its totient is φ = 23162880.

The previous prime is 51506047. The next prime is 51506051. The reversal of 51506048 is 84060515.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 51506048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51506041) 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 7 ways as a sum of consecutive naturals, for example, 220940 + ... + 221172.

Almost surely, 2^51506048 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 51506048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56567160).

51506048 is an abundant number, since it is smaller than the sum of its proper divisors (61628272).

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

51506048 is a wasteful number, since it uses less digits than its factorization.

51506048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 51506048 is about 7176.7714189599. The cubic root of 51506048 is about 372.0655066357.

The spelling of 51506048 in words is "fifty-one million, five hundred six thousand, forty-eight".