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450509046 = 23132444289
BaseRepresentation
bin11010110110100…
…011100011110110
31011101201020020020
4122312203203312
51410312242141
6112411550010
714110156311
oct3266434366
91141636206
10450509046
11211334129
12106a5b306
1372447600
1443b91978
152983e266
hex1ada38f6

450509046 has 24 divisors (see below), whose sum is σ = 975660840. Its totient is φ = 138617856.

The previous prime is 450509029. The next prime is 450509047. The reversal of 450509046 is 640905054.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 450508998 and 450509016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450509047) 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 11 ways as a sum of consecutive naturals, for example, 221131 + ... + 223158.

It is an arithmetic number, because the mean of its divisors is an integer number (40652535).

Almost surely, 2450509046 is an apocalyptic number.

450509046 is an abundant number, since it is smaller than the sum of its proper divisors (525151794).

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

450509046 is a wasteful number, since it uses less digits than its factorization.

450509046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444320 (or 444307 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 450509046 is about 21225.1983736313. The cubic root of 450509046 is about 766.5982766552.

The spelling of 450509046 in words is "four hundred fifty million, five hundred nine thousand, forty-six".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 1014 444289 888578 1332867 2665734 5775757 11551514 17327271 34654542 75084841 150169682 225254523 450509046