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504493314 = 231397131509
BaseRepresentation
bin11110000100011…
…111010100000010
31022011021220201120
4132010133110002
52013122241224
6122021013110
715334056663
oct3604372402
91264256646
10504493314
11239856326
12120b54196
1380699370
144b00536a
152e454779
hex1e11f502

504493314 has 64 divisors (see below), whose sum is σ = 1108356480. Its totient is φ = 152156160.

The previous prime is 504493307. The next prime is 504493351. The reversal of 504493314 is 413394405.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 990892 + ... + 991400.

It is an arithmetic number, because the mean of its divisors is an integer number (17318070).

Almost surely, 2504493314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504493314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554178240).

504493314 is an abundant number, since it is smaller than the sum of its proper divisors (603863166).

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

504493314 is a wasteful number, since it uses less digits than its factorization.

504493314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755.

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 504493314 is about 22460.9286094765. The cubic root of 504493314 is about 796.0710030264.

The spelling of 504493314 in words is "five hundred four million, four hundred ninety-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 97 131 194 262 291 393 509 582 786 1018 1261 1527 1703 2522 3054 3406 3783 5109 6617 7566 10218 12707 13234 19851 25414 38121 39702 49373 66679 76242 98746 133358 148119 165191 200037 296238 330382 400074 495573 641849 866827 991146 1283698 1733654 1925547 2600481 3851094 5200962 6467863 12935726 19403589 38807178 84082219 168164438 252246657 504493314