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446040001 = 1127350497
BaseRepresentation
bin11010100101100…
…000011111000001
31011002022011212001
4122211200133001
51403141240001
6112132104001
714024164111
oct3245403701
91132264761
10446040001
11209861500
12105465001
13715413c4
144334b041
152925a001
hex1a9607c1

446040001 has 12 divisors (see below), whose sum is σ = 497001316. Its totient is φ = 399928320.

The previous prime is 446039947. The next prime is 446040013. The reversal of 446040001 is 100040644.

It can be written as a sum of positive squares in 2 ways, for example, as 142444225 + 303595776 = 11935^2 + 17424^2 .

It is not a de Polignac number, because 446040001 - 213 = 446031809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (446040031) 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 in 11 ways as a sum of consecutive naturals, for example, 16416 + ... + 34081.

Almost surely, 2446040001 is an apocalyptic number.

It is an amenable number.

446040001 is a deficient number, since it is larger than the sum of its proper divisors (50961315).

446040001 is a wasteful number, since it uses less digits than its factorization.

446040001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50592 (or 50581 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 446040001 is about 21119.6591118323. The cubic root of 446040001 is about 764.0549658699.

Adding to 446040001 its reverse (100040644), we get a palindrome (546080645).

The spelling of 446040001 in words is "four hundred forty-six million, forty thousand, one".

Divisors: 1 11 73 121 803 8833 50497 555467 3686281 6110137 40549091 446040001