Search a number
-
+
487818468 = 2232171575077
BaseRepresentation
bin11101000100111…
…000010011100100
31020222220202010200
4131010320103210
51444340142333
6120223350500
715042250164
oct3504702344
91228822120
10487818468
112303a7265
12117452430
137a0ab5a7
1448b045a4
152cc5dc13
hex1d1384e4

487818468 has 72 divisors (see below), whose sum is σ = 1314206712. Its totient is φ = 152036352.

The previous prime is 487818439. The next prime is 487818469. The reversal of 487818468 is 864818784.

487818468 is a `hidden beast` number, since 487 + 81 + 84 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 222845184 + 264973284 = 14928^2 + 16278^2 .

It is not an unprimeable number, because it can be changed into a prime (487818469) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 93546 + ... + 98622.

It is an arithmetic number, because the mean of its divisors is an integer number (18252871).

Almost surely, 2487818468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 487818468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657103356).

487818468 is an abundant number, since it is smaller than the sum of its proper divisors (826388244).

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

487818468 is a wasteful number, since it uses less digits than its factorization.

487818468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5261 (or 5256 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 54.

The square root of 487818468 is about 22086.6128684323. The cubic root of 487818468 is about 787.2018015339.

The spelling of 487818468 in words is "four hundred eighty-seven million, eight hundred eighteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 157 204 306 314 471 612 628 942 1413 1884 2669 2826 5077 5338 5652 8007 10154 10676 15231 16014 20308 24021 30462 32028 45693 48042 60924 86309 91386 96084 172618 182772 258927 345236 517854 776781 797089 1035708 1553562 1594178 2391267 3107124 3188356 4782534 7173801 9565068 13550513 14347602 27101026 28695204 40651539 54202052 81303078 121954617 162606156 243909234 487818468