Search a number
-
+
486275790 = 2357111316193
BaseRepresentation
bin11100111110111…
…111101011001110
31020220000100222110
4130332333223032
51443441311130
6120130324450
715023163450
oct3476775316
91226010873
10486275790
1122a543220
12116a29726
137998b370
14488222d0
152ca56ab0
hex1cfbface

486275790 has 128 divisors (see below), whose sum is σ = 1567060992. Its totient is φ = 93265920.

The previous prime is 486275789. The next prime is 486275791. The reversal of 486275790 is 97572684.

It is an interprime number because it is at equal distance from previous prime (486275789) and next prime (486275791).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486275791) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21934 + ... + 38126.

It is an arithmetic number, because the mean of its divisors is an integer number (12242664).

Almost surely, 2486275790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486275790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783530496).

486275790 is an abundant number, since it is smaller than the sum of its proper divisors (1080785202).

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

486275790 is a wasteful number, since it uses less digits than its factorization.

486275790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16234.

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 486275790 is about 22051.6618421379. The cubic root of 486275790 is about 786.3711091258.

The spelling of 486275790 in words is "four hundred eighty-six million, two hundred seventy-five thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 13 14 15 21 22 26 30 33 35 39 42 55 65 66 70 77 78 91 105 110 130 143 154 165 182 195 210 231 273 286 330 385 390 429 455 462 546 715 770 858 910 1001 1155 1365 1430 2002 2145 2310 2730 3003 4290 5005 6006 10010 15015 16193 30030 32386 48579 80965 97158 113351 161930 178123 210509 226702 242895 340053 356246 421018 485790 534369 566755 631527 680106 890615 1052545 1068738 1133510 1246861 1263054 1473563 1700265 1781230 2105090 2315599 2493722 2671845 2947126 3157635 3400530 3740583 4420689 4631198 5343690 6234305 6315270 6946797 7367815 7481166 8841378 11577995 12468610 13893594 14735630 16209193 18702915 22103445 23155990 32418386 34733985 37405830 44206890 48627579 69467970 81045965 97255158 162091930 243137895 486275790