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262144081 is a prime number
BaseRepresentation
bin11111010000000…
…00000001010001
3200021021022002001
433220000001101
51014102102311
642002354001
76332121313
oct1750000121
9607238061
10262144081
11124a78801
127395b901
1342405154
1426b5b7b3
15180324c1
hexfa00051

262144081 has 2 divisors, whose sum is σ = 262144082. Its totient is φ = 262144080.

The previous prime is 262144031. The next prime is 262144109. The reversal of 262144081 is 180441262.

It is an a-pointer prime, because the next prime (262144109) can be obtained adding 262144081 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 186732225 + 75411856 = 13665^2 + 8684^2 .

It is a cyclic number.

It is not a de Polignac number, because 262144081 - 29 = 262143569 is a prime.

It is a super-2 number, since 2×2621440812 = 137439038406669122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (262144031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 131072040 + 131072041.

It is an arithmetic number, because the mean of its divisors is an integer number (131072041).

Almost surely, 2262144081 is an apocalyptic number.

It is an amenable number.

262144081 is a deficient number, since it is larger than the sum of its proper divisors (1).

262144081 is an equidigital number, since it uses as much as digits as its factorization.

262144081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 262144081 is about 16190.8641214729. The cubic root of 262144081 is about 640.0000659180. Note that the first 4 decimals are identical.

The spelling of 262144081 in words is "two hundred sixty-two million, one hundred forty-four thousand, eighty-one".