51946272 has 180 divisors, whose sum is σ = 178149510. Its totient is φ = 14805504.

The previous prime is 51946267. The next prime is 51946291. The reversal of 51946272 is 27264915.

It can be written as a sum of positive squares in only one way, i.e., 33593616 + 18352656 = 5796^2 + 4284^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 126804 + ... + 127212.

Almost surely, 2^51946272 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 51946272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89074755).

51946272 is an abundant number, since it is smaller than the sum of its proper divisors (126203238).

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

51946272 is a wasteful number, since it uses less digits than its factorization.

51946272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 421 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 51946272 is about 7207.3762216218. The cubic root of 51946272 is about 373.1225198694.

The spelling of 51946272 in words is "fifty-one million, nine hundred forty-six thousand, two hundred seventy-two".