51189648 has 120 divisors (see below), whose sum is σ = 146553120. Its totient is φ = 15344640.

The previous prime is 51189647. The next prime is 51189653. The reversal of 51189648 is 84698115.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51189647) 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, 1248508 + ... + 1248548.

It is an arithmetic number, because the mean of its divisors is an integer number (1221276).

Almost surely, 2^51189648 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 51189648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73276560).

51189648 is an abundant number, since it is smaller than the sum of its proper divisors (95363472).

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

51189648 is a wasteful number, since it uses less digits than its factorization.

51189648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 102 counting only the distinct ones).

The product of its digits is 69120, while the sum is 42.

The square root of 51189648 is about 7154.6941234409. The cubic root of 51189648 is about 371.3020791024.

It can be divided in two parts, 5 and 1189648, that added together give a triangular number (1189653 = T₁₅₄₂).

The spelling of 51189648 in words is "fifty-one million, one hundred eighty-nine thousand, six hundred forty-eight".