Search a number
-
+
491307876 = 223323832383
BaseRepresentation
bin11101010010001…
…100001101100100
31021020111000201000
4131102030031210
52001233323001
6120430233300
715114022323
oct3522141544
91236430630
10491307876
1123236a974
12118655830
137aa30927
14493720ba
152d1eca86
hex1d48c364

491307876 has 96 divisors (see below), whose sum is σ = 1345720320. Its totient is φ = 154696608.

The previous prime is 491307829. The next prime is 491307979. The reversal of 491307876 is 678703194.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 204981 + ... + 207363.

It is an arithmetic number, because the mean of its divisors is an integer number (14017920).

Almost surely, 2491307876 is an apocalyptic number.

491307876 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 491307876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672860160).

491307876 is an abundant number, since it is smaller than the sum of its proper divisors (854412444).

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

491307876 is a wasteful number, since it uses less digits than its factorization.

491307876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 491307876 is about 22165.4658421609. The cubic root of 491307876 is about 789.0743182030.

The spelling of 491307876 in words is "four hundred ninety-one million, three hundred seven thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 83 92 108 138 166 207 249 276 332 414 498 621 747 828 996 1242 1494 1909 2241 2383 2484 2988 3818 4482 4766 5727 7149 7636 8964 9532 11454 14298 17181 21447 22908 28596 34362 42894 51543 54809 64341 68724 85788 103086 109618 128682 164427 197789 206172 219236 257364 328854 395578 493281 593367 657708 791156 986562 1186734 1479843 1780101 1973124 2373468 2959686 3560202 4549147 5340303 5919372 7120404 9098294 10680606 13647441 18196588 21361212 27294882 40942323 54589764 81884646 122826969 163769292 245653938 491307876