Search a number
-
+
486495072 = 2534726813
BaseRepresentation
bin11100111111110…
…101001101100000
31020220102111210000
4130333311031200
51444020320242
6120135140000
715025065660
oct3477651540
91226374700
10486495072
1122a682a48
12116b14600
1379a3710b
144887c1a0
152ca9ba4c
hex1cff5360

486495072 has 120 divisors (see below), whose sum is σ = 1635224976. Its totient is φ = 138993408.

The previous prime is 486495071. The next prime is 486495127. The reversal of 486495072 is 270594684.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486495071) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 4738 + ... + 31550.

Almost surely, 2486495072 is an apocalyptic number.

486495072 is a gapful number since it is divisible by the number (42) 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 486495072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817612488).

486495072 is an abundant number, since it is smaller than the sum of its proper divisors (1148729904).

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

486495072 is a wasteful number, since it uses less digits than its factorization.

486495072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26842 (or 26825 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 486495072 is about 22056.6332879703. The cubic root of 486495072 is about 786.4892938541.

The spelling of 486495072 in words is "four hundred eighty-six million, four hundred ninety-five thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 6048 9072 18144 26813 53626 80439 107252 160878 187691 214504 241317 321756 375382 429008 482634 563073 643512 723951 750764 858016 965268 1126146 1287024 1447902 1501528 1689219 1930536 2171853 2252292 2574048 2895804 3003056 3378438 3861072 4343706 4504584 5067657 5791608 6006112 6756876 7722144 8687412 9009168 10135314 11583216 13513752 15202971 17374824 18018336 20270628 23166432 27027504 30405942 34749648 40541256 54055008 60811884 69499296 81082512 121623768 162165024 243247536 486495072