51835248 has 80 divisors (see below), whose sum is σ = 150441760. Its totient is φ = 17086464.

The previous prime is 51835213. The next prime is 51835279. The reversal of 51835248 is 84253815.

It is a happy number.

51835248 is a `hidden beast` number, since 51 + 83 + 524 + 8 = 666.

51835248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41286 + ... + 42522.

It is an arithmetic number, because the mean of its divisors is an integer number (1880522).

Almost surely, 2^51835248 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 51835248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75220880).

51835248 is an abundant number, since it is smaller than the sum of its proper divisors (98606512).

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

51835248 is a wasteful number, since it uses less digits than its factorization.

51835248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1339 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 51835248 is about 7199.6699924372. The cubic root of 51835248 is about 372.8565071805.

It can be divided in two parts, 518352 and 48, that added together give a square (518400 = 720²).

The spelling of 51835248 in words is "fifty-one million, eight hundred thirty-five thousand, two hundred forty-eight".