51200 has 36 divisors (see below), whose sum is σ = 126945. Its totient is φ = 20480.

The previous prime is 51199. The next prime is 51203. The reversal of 51200 is 215.

Multipling 51200 by its product of nonzero digits (10), we get a cube (512000 = 80^{3}).

Adding to 51200 its reverse (215), we get a palindrome (51415).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 50176 + 1024 = 224^2 + 32^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=160.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (51203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 10238 + ... + 10242.

51200 is a Friedman number, since it can be written as 50*2^10, using all its digits and the basic arithmetic operations.

2^{51200} is an apocalyptic number.

51200 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 51200

51200 is an abundant number, since it is smaller than the sum of its proper divisors (75745).

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

51200 is an equidigital number, since it uses as much as digits as its factorization.

51200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 51200 is about 226.2741699797. The cubic root of 51200 is about 37.1327106689.

The spelling of 51200 in words is "fifty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2048 2560 3200 5120 6400 10240 12800 25600 51200

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