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438182681 is a prime number
BaseRepresentation
bin11010000111100…
…010001100011001
31010112111222122012
4122013202030121
51344133321211
6111251435305
713600330346
oct3207421431
91115458565
10438182681
11205385152
121028b5b35
136ca1cbc1
14422a37cd
1528706d8b
hex1a1e2319

438182681 has 2 divisors, whose sum is σ = 438182682. Its totient is φ = 438182680.

The previous prime is 438182651. The next prime is 438182711. The reversal of 438182681 is 186281834.

It is a balanced prime because it is at equal distance from previous prime (438182651) and next prime (438182711).

It can be written as a sum of positive squares in only one way, i.e., 429152656 + 9030025 = 20716^2 + 3005^2 .

It is a cyclic number.

It is not a de Polignac number, because 438182681 - 226 = 371073817 is a prime.

It is a super-2 number, since 2×4381826812 = 384008123856695522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p23259299 and since 438182681 and 23259299 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (438182651) 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 as a sum of consecutive naturals, namely, 219091340 + 219091341.

It is an arithmetic number, because the mean of its divisors is an integer number (219091341).

Almost surely, 2438182681 is an apocalyptic number.

It is an amenable number.

438182681 is a deficient number, since it is larger than the sum of its proper divisors (1).

438182681 is an equidigital number, since it uses as much as digits as its factorization.

438182681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 73728, while the sum is 41.

The square root of 438182681 is about 20932.8134993842. The cubic root of 438182681 is about 759.5418990208.

The spelling of 438182681 in words is "four hundred thirty-eight million, one hundred eighty-two thousand, six hundred eighty-one".