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8409608892 = 2235174112413
BaseRepresentation
bin1111101010100000…
…00111001010111100
3210201002011101200000
413311100013022330
5114210324441032
63510251034300
7415253332116
oct76520071274
923632141600
108409608892
1136260066a3
12176843b990
13a4036a249
1459ac503b6
1534345ae7c
hex1f54072bc

8409608892 has 144 divisors (see below), whose sum is σ = 23912939232. Its totient is φ = 2573752320.

The previous prime is 8409608881. The next prime is 8409608897. The reversal of 8409608892 is 2988069048.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8409608897) 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 47 ways as a sum of consecutive naturals, for example, 671278 + ... + 683690.

It is an arithmetic number, because the mean of its divisors is an integer number (166062078).

Almost surely, 28409608892 is an apocalyptic number.

8409608892 is a gapful number since it is divisible by the number (82) 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 8409608892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11956469616).

8409608892 is an abundant number, since it is smaller than the sum of its proper divisors (15503330340).

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

8409608892 is a wasteful number, since it uses less digits than its factorization.

8409608892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12490 (or 12476 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 8409608892 is about 91703.9197199335. The cubic root of 8409608892 is about 2033.5675327718.

The spelling of 8409608892 in words is "eight billion, four hundred nine million, six hundred eight thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 41 51 54 68 81 82 102 108 123 153 162 164 204 243 246 306 324 369 459 486 492 612 697 738 918 972 1107 1377 1394 1476 1836 2091 2214 2754 2788 3321 4131 4182 4428 5508 6273 6642 8262 8364 9963 12413 12546 13284 16524 18819 19926 24826 25092 37239 37638 39852 49652 56457 74478 75276 111717 112914 148956 169371 211021 223434 225828 335151 338742 422042 446868 508933 633063 670302 677484 844084 1005453 1017866 1266126 1340604 1526799 1899189 2010906 2035732 2532252 3016359 3053598 3798378 4021812 4580397 5697567 6032718 6107196 7596756 8651861 9160794 11395134 12065436 13741191 17092701 17303722 18321588 22790268 25955583 27482382 34185402 34607444 41223573 51278103 51911166 54964764 68370804 77866749 82447146 102556206 103822332 123670719 155733498 164894292 205112412 233600247 247341438 311466996 467200494 494682876 700800741 934400988 1401601482 2102402223 2803202964 4204804446 8409608892