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728093441 is a prime number
BaseRepresentation
bin101011011001011…
…101001100000001
31212202000222102202
4223121131030001
52442342442231
6200125322545
724020456255
oct5331351401
91782028382
10728093441
11343a98419
12183a06455
13b7ac762a
146c9ac265
1543dc15cb
hex2b65d301

728093441 has 2 divisors, whose sum is σ = 728093442. Its totient is φ = 728093440.

The previous prime is 728093411. The next prime is 728093449. The reversal of 728093441 is 144390827.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 595360000 + 132733441 = 24400^2 + 11521^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-728093441 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 728093395 and 728093404.

It is not a weakly prime, because it can be changed into another prime (728093449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364046720 + 364046721.

It is an arithmetic number, because the mean of its divisors is an integer number (364046721).

Almost surely, 2728093441 is an apocalyptic number.

It is an amenable number.

728093441 is a deficient number, since it is larger than the sum of its proper divisors (1).

728093441 is an equidigital number, since it uses as much as digits as its factorization.

728093441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 728093441 is about 26983.2066478393. The cubic root of 728093441 is about 899.6267757003.

The spelling of 728093441 in words is "seven hundred twenty-eight million, ninety-three thousand, four hundred forty-one".