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8427265434 = 234719794951
BaseRepresentation
bin1111101100100110…
…11101110110011010
3210202022101102220000
413312103131312122
5114224334443214
63512121313430
7415556400660
oct76623356632
923668342800
108427265434
113634a76285
121772335876
13a43c0cac3
1459d328c30
15344c97809
hex1f64ddd9a

8427265434 has 160 divisors (see below), whose sum is σ = 23008972800. Its totient is φ = 2251735200.

The previous prime is 8427265417. The next prime is 8427265439. The reversal of 8427265434 is 4345627248.

It is a happy number.

8427265434 is a `hidden beast` number, since 84 + 2 + 7 + 26 + 543 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 8427265434.

It is not an unprimeable number, because it can be changed into a prime (8427265439) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1699659 + ... + 1704609.

It is an arithmetic number, because the mean of its divisors is an integer number (143806080).

Almost surely, 28427265434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8427265434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11504486400).

8427265434 is an abundant number, since it is smaller than the sum of its proper divisors (14581707366).

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

8427265434 is a wasteful number, since it uses less digits than its factorization.

8427265434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5070 (or 5061 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 8427265434 is about 91800.1385293072. The cubic root of 8427265434 is about 2034.9897420335.

The spelling of 8427265434 in words is "eight billion, four hundred twenty-seven million, two hundred sixty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 79 81 114 126 133 158 162 171 189 237 266 342 378 399 474 513 553 567 711 798 1026 1106 1134 1197 1422 1501 1539 1659 2133 2394 3002 3078 3318 3591 4266 4503 4951 4977 6399 7182 9006 9902 9954 10507 10773 12798 13509 14853 14931 21014 21546 27018 29706 29862 31521 34657 40527 44559 44793 63042 69314 81054 89118 89586 94069 94563 103971 121581 133677 188138 189126 207942 243162 267354 282207 283689 311913 391129 401031 564414 567378 623826 658483 782258 802062 846621 851067 935739 1173387 1316966 1693242 1702134 1871478 1975449 2346774 2539863 2737903 2807217 3520161 3950898 5079726 5475806 5614434 5926347 7040322 7431451 7619589 8213709 10560483 11852694 14862902 15239178 16427418 17779041 21120966 22294353 24641127 31681449 35558082 44588706 49282254 52020157 53337123 63362898 66883059 73923381 104040314 106674246 133766118 147846762 156060471 200649177 221770143 312120942 401298354 443540286 468181413 601947531 936362826 1203895062 1404544239 2809088478 4213632717 8427265434