51826320 has 360 divisors, whose sum is σ = 219970296. Its totient is φ = 10838016.

The previous prime is 51826303. The next prime is 51826321. The reversal of 51826320 is 2362815.

It can be written as a sum of positive squares in 4 ways, for example, as 2039184 + 49787136 = 1428^2 + 7056^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (51826321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 458584 + ... + 458696.

Almost surely, 2^51826320 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 51826320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109985148).

51826320 is an abundant number, since it is smaller than the sum of its proper divisors (168143976).

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

51826320 is a wasteful number, since it uses less digits than its factorization.

51826320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 51826320 is about 7199.0499373181. The cubic root of 51826320 is about 372.8350992636.

The spelling of 51826320 in words is "fifty-one million, eight hundred twenty-six thousand, three hundred twenty".