51466752 has 200 divisors, whose sum is σ = 164878956. Its totient is φ = 15925248.

The previous prime is 51466747. The next prime is 51466759. The reversal of 51466752 is 25766415.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 49787136 + 1679616 = 7056^2 + 1296^2 .

It is a super-2 number, since 2×51466752² = 5297653122859008, which contains 22 as substring.

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

Its product of digits (50400) is a multiple of the sum of its prime factors (120).

It is not an unprimeable number, because it can be changed into a prime (51466759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 704988 + ... + 705060.

Almost surely, 2^51466752 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 51466752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82439478).

51466752 is an abundant number, since it is smaller than the sum of its proper divisors (113412204).

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

51466752 is an equidigital number, since it uses as much as digits as its factorization.

51466752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 95 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 51466752 is about 7174.0331752787. The cubic root of 51466752 is about 371.9708614013.

The spelling of 51466752 in words is "fifty-one million, four hundred sixty-six thousand, seven hundred fifty-two".