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450459649 = 1738772969
BaseRepresentation
bin11010110110010…
…111100000000001
31011101121201110201
4122312113200001
51410304202044
6112410525201
714106562303
oct3266274001
91141551421
10450459649
11211300002
12106a36801
137242ac93
1443b7b973
152982e7d4
hex1ad97801

450459649 has 8 divisors (see below), whose sum is σ = 453732840. Its totient is φ = 447194496.

The previous prime is 450459641. The next prime is 450459671. The reversal of 450459649 is 946954054.

It can be written as a sum of positive squares in 4 ways, for example, as 91546624 + 358913025 = 9568^2 + 18945^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 450459649 - 23 = 450459641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 450459599 and 450459608.

It is not an unprimeable number, because it can be changed into a prime (450459641) 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 7 ways as a sum of consecutive naturals, for example, 150237 + ... + 153205.

It is an arithmetic number, because the mean of its divisors is an integer number (56716605).

Almost surely, 2450459649 is an apocalyptic number.

It is an amenable number.

450459649 is a deficient number, since it is larger than the sum of its proper divisors (3273191).

450459649 is a wasteful number, since it uses less digits than its factorization.

450459649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4019.

The product of its (nonzero) digits is 777600, while the sum is 46.

The square root of 450459649 is about 21224.0347012532. The cubic root of 450459649 is about 766.5702572111.

The spelling of 450459649 in words is "four hundred fifty million, four hundred fifty-nine thousand, six hundred forty-nine".

Divisors: 1 173 877 2969 151721 513637 2603813 450459649