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8129808 = 24361741
BaseRepresentation
bin11111000000110100010000
3120022001000000
4133000310100
54040123213
6450130000
7126050031
oct37006420
916261000
108129808
114653055
122880900
1318b854b
141118a88
15aa8c73
hex7c0d10

8129808 has 140 divisors (see below), whose sum is σ = 25615548. Its totient is φ = 2488320.

The previous prime is 8129801. The next prime is 8129819. The reversal of 8129808 is 8089218.

8129808 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2985984 + 5143824 = 1728^2 + 2268^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8129801) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 198268 + ... + 198308.

Almost surely, 28129808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8129808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12807774).

8129808 is an abundant number, since it is smaller than the sum of its proper divisors (17485740).

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

8129808 is a wasteful number, since it uses less digits than its factorization.

8129808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 8129808 is about 2851.2818170079. The cubic root of 8129808 is about 201.0759347756.

The spelling of 8129808 in words is "eight million, one hundred twenty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 41 48 51 54 68 72 81 82 102 108 123 136 144 153 162 164 204 216 243 246 272 306 324 328 369 408 432 459 486 492 612 648 656 697 729 738 816 918 972 984 1107 1224 1296 1377 1394 1458 1476 1836 1944 1968 2091 2214 2448 2754 2788 2916 2952 3321 3672 3888 4131 4182 4428 5508 5576 5832 5904 6273 6642 7344 8262 8364 8856 9963 11016 11152 11664 12393 12546 13284 16524 16728 17712 18819 19926 22032 24786 25092 26568 29889 33048 33456 37638 39852 49572 50184 53136 56457 59778 66096 75276 79704 99144 100368 112914 119556 150552 159408 169371 198288 225828 239112 301104 338742 451656 478224 508113 677484 903312 1016226 1354968 2032452 2709936 4064904 8129808