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450044064 = 25321562653
BaseRepresentation
bin11010110100110…
…010000010100000
31011100211121101200
4122310302002200
51410202402224
6112354001200
714103211551
oct3264620240
91140747350
10450044064
11211046848
12106876200
1372313a82
1443ab0328
152979b5c9
hex1ad320a0

450044064 has 36 divisors (see below), whose sum is σ = 1279813626. Its totient is φ = 150014592.

The previous prime is 450044039. The next prime is 450044093. The reversal of 450044064 is 460440054.

It can be written as a sum of positive squares in only one way, i.e., 348195600 + 101848464 = 18660^2 + 10092^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 781039 + ... + 781614.

Almost surely, 2450044064 is an apocalyptic number.

It is an amenable number.

450044064 is an abundant number, since it is smaller than the sum of its proper divisors (829769562).

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

450044064 is a wasteful number, since it uses less digits than its factorization.

450044064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562669 (or 1562658 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 450044064 is about 21214.2420086130. The cubic root of 450044064 is about 766.3344439171.

The spelling of 450044064 in words is "four hundred fifty million, forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1562653 3125306 4687959 6250612 9375918 12501224 14063877 18751836 25002448 28127754 37503672 50004896 56255508 75007344 112511016 150014688 225022032 450044064