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450471945 = 35721155717
BaseRepresentation
bin11010110110011…
…010100000001001
31011101122100100010
4122312122200021
51410310100240
6112411102133
714106643200
oct3266324011
91141570303
10450471945
11211309270
12106a41949
1372433761
1443b82237
1529833280
hex1ad9a809

450471945 has 48 divisors (see below), whose sum is σ = 914666688. Its totient is φ = 187205760.

The previous prime is 450471941. The next prime is 450471947. The reversal of 450471945 is 549174054.

It is not a de Polignac number, because 450471945 - 22 = 450471941 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (450471941) 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 47 ways as a sum of consecutive naturals, for example, 19774 + ... + 35943.

It is an arithmetic number, because the mean of its divisors is an integer number (19055556).

Almost surely, 2450471945 is an apocalyptic number.

It is an amenable number.

450471945 is an abundant number, since it is smaller than the sum of its proper divisors (464194743).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

450471945 is a wasteful number, since it uses less digits than its factorization.

450471945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55750 (or 55743 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 450471945 is about 21224.3243708722. The cubic root of 450471945 is about 766.5772320586.

The spelling of 450471945 in words is "four hundred fifty million, four hundred seventy-one thousand, nine hundred forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 105 147 165 231 245 385 539 735 1155 1617 2695 8085 55717 167151 278585 390019 612887 835755 1170057 1838661 1950095 2730133 3064435 4290209 5850285 8190399 9193305 12870627 13650665 21451045 30031463 40951995 64353135 90094389 150157315 450471945