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491741712 = 243371114783
BaseRepresentation
bin11101010011110…
…110001000010000
31021021022001211000
4131103312020100
52001341213322
6120443422000
715120510210
oct3523661020
91237261730
10491741712
11232636910
12118824900
137ab53237
1449446240
152d2863ac
hex1d4f6210

491741712 has 160 divisors (see below), whose sum is σ = 1759887360. Its totient is φ = 127716480.

The previous prime is 491741707. The next prime is 491741737. The reversal of 491741712 is 217147194.

It is a super-4 number, since 4×4917417124 (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 25873 + ... + 40655.

It is an arithmetic number, because the mean of its divisors is an integer number (10999296).

Almost surely, 2491741712 is an apocalyptic number.

491741712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

491741712 is the 11088-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 491741712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879943680).

491741712 is an abundant number, since it is smaller than the sum of its proper divisors (1268145648).

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

491741712 is a wasteful number, since it uses less digits than its factorization.

491741712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14818 (or 14806 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 491741712 is about 22175.2499873169. The cubic root of 491741712 is about 789.3065067150.

The spelling of 491741712 in words is "four hundred ninety-one million, seven hundred forty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1512 1584 1848 2079 2376 2772 3024 3696 4158 4752 5544 8316 11088 14783 16632 29566 33264 44349 59132 88698 103481 118264 133047 162613 177396 206962 236528 266094 310443 325226 354792 399141 413924 487839 532188 620886 650452 709584 798282 827848 931329 975678 1064376 1138291 1241772 1300904 1463517 1596564 1655696 1862658 1951356 2128752 2276582 2483544 2601808 2793987 2927034 3193128 3414873 3725316 3902712 4390551 4553164 4967088 5587974 5854068 6386256 6829746 7450632 7805424 8781102 9106328 10244619 11175948 11708136 13659492 14901264 17562204 18212656 20489238 22351896 23416272 27318984 30733857 35124408 40978476 44703792 54637968 61467714 70248816 81956952 122935428 163913904 245870856 491741712