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463750014 = 237213671811
BaseRepresentation
bin11011101001000…
…100001101111110
31012022121221102110
4123221010031332
51422210000024
6114003434450
714330544600
oct3351041576
91168557373
10463750014
11218858282
1210b385a26
13751023c0
144583b170
152aaa7629
hex1ba4437e

463750014 has 96 divisors (see below), whose sum is σ = 1179916416. Its totient is φ = 120415680.

The previous prime is 463750013. The next prime is 463750031. The reversal of 463750014 is 410057364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463750013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255169 + ... + 256979.

It is an arithmetic number, because the mean of its divisors is an integer number (12290796).

Almost surely, 2463750014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463750014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589958208).

463750014 is an abundant number, since it is smaller than the sum of its proper divisors (716166402).

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

463750014 is a wasteful number, since it uses less digits than its factorization.

463750014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 463750014 is about 21534.8557924124. The cubic root of 463750014 is about 774.0362708266.

The spelling of 463750014 in words is "four hundred sixty-three million, seven hundred fifty thousand, fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 67 78 91 98 134 147 182 201 273 294 402 469 546 637 871 938 1274 1407 1742 1811 1911 2613 2814 3283 3622 3822 5226 5433 6097 6566 9849 10866 12194 12677 18291 19698 23543 25354 36582 38031 42679 47086 70629 76062 85358 88739 121337 128037 141258 164801 177478 242674 256074 266217 329602 364011 494403 532434 728022 849359 988806 1153607 1577381 1698718 2307214 2548077 3154762 3460821 4732143 5096154 5945513 6921642 9464286 11041667 11891026 17836539 22083334 33125001 35673078 66250002 77291669 154583338 231875007 463750014