51846500 has 48 divisors (see below), whose sum is σ = 114507120. Its totient is φ = 20505600.

The previous prime is 51846469. The next prime is 51846503. The reversal of 51846500 is 564815.

It is a happy number.

51846500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 18852964 + 32993536 = 4342^2 + 5744^2 .

It is not an unprimeable number, because it can be changed into a prime (51846503) 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 15 ways as a sum of consecutive naturals, for example, 47966 + ... + 49034.

It is an arithmetic number, because the mean of its divisors is an integer number (2385565).

Almost surely, 2^51846500 is an apocalyptic number.

51846500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51846500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57253560).

51846500 is an abundant number, since it is smaller than the sum of its proper divisors (62660620).

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

51846500 is a wasteful number, since it uses less digits than its factorization.

51846500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 51846500 is about 7200.4513747403. The cubic root of 51846500 is about 372.8834841768.

The spelling of 51846500 in words is "fifty-one million, eight hundred forty-six thousand, five hundred".