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450509019 = 319311371861
BaseRepresentation
bin11010110110100…
…011100011011011
31011101201020012020
4122312203203123
51410312242034
6112411545523
714110156242
oct3266434333
91141636166
10450509019
11211334104
12106a5b2a3
13724475ac
1443b91959
152983e249
hex1ada38db

450509019 has 32 divisors (see below), whose sum is σ = 657807360. Its totient is φ = 273196800.

The previous prime is 450508991. The next prime is 450509029. The reversal of 450509019 is 910905054.

It is not a de Polignac number, because 450509019 - 28 = 450508763 is a prime.

It is a super-4 number, since 4×4505090194 (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (450509029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241149 + ... + 243009.

It is an arithmetic number, because the mean of its divisors is an integer number (20556480).

Almost surely, 2450509019 is an apocalyptic number.

450509019 is a deficient number, since it is larger than the sum of its proper divisors (207298341).

450509019 is a wasteful number, since it uses less digits than its factorization.

450509019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051.

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 450509019 is about 21225.1977375948. The cubic root of 450509019 is about 766.5982613406.

The spelling of 450509019 in words is "four hundred fifty million, five hundred nine thousand, nineteen".

Divisors: 1 3 19 31 57 93 137 411 589 1767 1861 2603 4247 5583 7809 12741 35359 57691 80693 106077 173073 242079 254957 764871 1096129 3288387 4844183 7903667 14532549 23711001 150169673 450509019