51367248 has 120 divisors (see below), whose sum is σ = 152894976. Its totient is φ = 16070400.

The previous prime is 51367247. The next prime is 51367259. The reversal of 51367248 is 84276315.

51367248 is a `hidden beast` number, since 51 + 367 + 248 = 666.

51367248 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).

Its product of digits (40320) is a multiple of the sum of its prime divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51367243) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 165013 + ... + 165323.

Almost surely, 2^51367248 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 51367248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76447488).

51367248 is an abundant number, since it is smaller than the sum of its proper divisors (101527728).

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

51367248 is a wasteful number, since it uses less digits than its factorization.

51367248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 384 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 51367248 is about 7167.0948089167. The cubic root of 51367248 is about 371.7309883069.

It can be divided in two parts, 51367 and 248, that added together give a palindrome (51615).

The spelling of 51367248 in words is "fifty-one million, three hundred sixty-seven thousand, two hundred forty-eight".