Search a number
-
+
6490638 = 2337211223
BaseRepresentation
bin11000110000101000001110
3110012202111000
4120300220032
53130200023
6351041130
7106112100
oct30605016
913182430
106490638
113733570
1222101a6
13146341b
14c0d570
15883243
hex630a0e

6490638 has 96 divisors (see below), whose sum is σ = 18385920. Its totient is φ = 1678320.

The previous prime is 6490613. The next prime is 6490643. The reversal of 6490638 is 8360946.

6490638 is a `hidden beast` number, since 649 + 0 + 6 + 3 + 8 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28995 + ... + 29217.

It is an arithmetic number, because the mean of its divisors is an integer number (191520).

Almost surely, 26490638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6490638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9192960).

6490638 is an abundant number, since it is smaller than the sum of its proper divisors (11895282).

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

6490638 is a wasteful number, since it uses less digits than its factorization.

6490638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6490638 is about 2547.6730559473. The cubic root of 6490638 is about 186.5359153807.

The spelling of 6490638 in words is "six million, four hundred ninety thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 98 99 126 147 154 189 198 223 231 294 297 378 441 446 462 539 594 669 693 882 1078 1323 1338 1386 1561 1617 2007 2079 2453 2646 3122 3234 4014 4158 4683 4851 4906 6021 7359 9366 9702 10927 12042 14049 14553 14718 17171 21854 22077 28098 29106 32781 34342 42147 44154 51513 65562 66231 84294 98343 103026 120197 132462 154539 196686 240394 295029 309078 360591 463617 590058 721182 927234 1081773 2163546 3245319 6490638