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8202096 = 2432779103
BaseRepresentation
bin11111010010011101110000
3120102201011100
4133102131300
54044431341
6451444400
7126500550
oct37223560
916381140
108202096
1146a23a1
1228b6700
131912416
141137160
15ac03b6
hex7d2770

8202096 has 120 divisors (see below), whose sum is σ = 26823680. Its totient is φ = 2291328.

The previous prime is 8202071. The next prime is 8202097. The reversal of 8202096 is 6902028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8202097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79581 + ... + 79683.

Almost surely, 28202096 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 8202096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13411840).

8202096 is an abundant number, since it is smaller than the sum of its proper divisors (18621584).

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

8202096 is a wasteful number, since it uses less digits than its factorization.

8202096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8202096 is about 2863.9301667464. The cubic root of 8202096 is about 201.6701475467.

It can be divided in two parts, 820 and 2096, that added together give a square (2916 = 542).

The spelling of 8202096 in words is "eight million, two hundred two thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 79 84 103 112 126 144 158 168 206 237 252 309 316 336 412 474 504 553 618 632 711 721 824 927 948 1008 1106 1236 1264 1422 1442 1648 1659 1854 1896 2163 2212 2472 2844 2884 3318 3708 3792 4326 4424 4944 4977 5688 5768 6489 6636 7416 8137 8652 8848 9954 11376 11536 12978 13272 14832 16274 17304 19908 24411 25956 26544 32548 34608 39816 48822 51912 56959 65096 73233 79632 97644 103824 113918 130192 146466 170877 195288 227836 292932 341754 390576 455672 512631 585864 683508 911344 1025262 1171728 1367016 2050524 2734032 4101048 8202096