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484116318 = 23376012131
BaseRepresentation
bin11100110110110…
…000011101011110
31020201221122202000
4130312300131132
51442413210233
6120012143130
714665630560
oct3466603536
91221848660
10484116318
112292a8834
12116167aa6
13793b347a
144841d330
152c77bd13
hex1cdb075e

484116318 has 64 divisors (see below), whose sum is σ = 1232125440. Its totient is φ = 138024000.

The previous prime is 484116307. The next prime is 484116323. The reversal of 484116318 is 813611484.

It is a happy number.

484116318 is a `hidden beast` number, since 4 + 8 + 4 + 11 + 631 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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, 226113 + ... + 228243.

It is an arithmetic number, because the mean of its divisors is an integer number (19251960).

Almost surely, 2484116318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484116318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616062720).

484116318 is an abundant number, since it is smaller than the sum of its proper divisors (748009122).

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

484116318 is a wasteful number, since it uses less digits than its factorization.

484116318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2744 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 484116318 is about 22002.6434320970. The cubic root of 484116318 is about 785.2053328469.

The spelling of 484116318 in words is "four hundred eighty-four million, one hundred sixteen thousand, three hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 601 1202 1803 2131 3606 4207 4262 5409 6393 8414 10818 12621 12786 14917 16227 19179 25242 29834 32454 37863 38358 44751 57537 75726 89502 113589 115074 134253 227178 268506 402759 805518 1280731 2561462 3842193 7684386 8965117 11526579 17930234 23053158 26895351 34579737 53790702 69159474 80686053 161372106 242058159 484116318