Search a number
-
+
44384257 is a prime number
BaseRepresentation
bin1010100101010…
…0000000000001
310002111221202101
42221110000001
542330244012
64223150401
71046155111
oct251240001
9102457671
1044384257
1123065605
1212a45401
139270298
145c75041
153d6ad57
hex2a54001

44384257 has 2 divisors, whose sum is σ = 44384258. Its totient is φ = 44384256.

The previous prime is 44384243. The next prime is 44384369. The reversal of 44384257 is 75248344.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35569296 + 8814961 = 5964^2 + 2969^2 .

It is a cyclic number.

It is not a de Polignac number, because 44384257 - 219 = 43859969 is a prime.

It is not a weakly prime, because it can be changed into another prime (44384237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22192128 + 22192129.

It is an arithmetic number, because the mean of its divisors is an integer number (22192129).

It is a Proth number, since it is equal to 2709 ⋅ 214 + 1 and 2709 < 214.

Almost surely, 244384257 is an apocalyptic number.

It is an amenable number.

44384257 is a deficient number, since it is larger than the sum of its proper divisors (1).

44384257 is an equidigital number, since it uses as much as digits as its factorization.

44384257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 107520, while the sum is 37.

The square root of 44384257 is about 6662.1510790435. The cubic root of 44384257 is about 354.0595540692.

The spelling of 44384257 in words is "forty-four million, three hundred eighty-four thousand, two hundred fifty-seven".