25600 has 33 divisors (see below), whose sum is σ = 63457. Its totient is φ = 10240.

The previous prime is 25589. The next prime is 25601. The reversal of 25600 is 652.

25600 = T_{159} + T_{160}.

The square root of 25600 is 160.

It is a perfect power (a square), and thus also a powerful number.

25600 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in only one way, i.e., 9216 + 16384 = 96^2 + 128^2 .

It is a Duffinian number.

It is an enlightened number because it begins with the concatenation of its prime factors (25).

It is a nialpdrome in base 8, base 13 and base 16.

It is not an unprimeable number, because it can be changed into a prime (25601) by changing a digit.

25600 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 5118 + ... + 5122.

2^{25600} is an apocalyptic number.

25600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25600 is the 160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25600

25600 is an abundant number, since it is smaller than the sum of its proper divisors (37857).

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

25600 is an equidigital number, since it uses as much as digits as its factorization.

25600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The cubic root of 25600 is about 29.4722519891.

It can be divided in two parts, 25 and 600, that added together give a 4-th power (625 = 5^{4}).

The spelling of 25600 in words is "twenty-five thousand, six 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 2560 3200 5120 6400 12800 25600

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