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8090082 = 23271113449
BaseRepresentation
bin11110110111000111100010
3120020000111200
4132313013202
54032340312
6445222030
7125523150
oct36670742
916200450
108090082
114626220
122861916
1318a3440
1411083d0
15a9c0dc
hex7b71e2

8090082 has 96 divisors (see below), whose sum is σ = 23587200. Its totient is φ = 1935360.

The previous prime is 8090081. The next prime is 8090083. The reversal of 8090082 is 2800908.

It is an interprime number because it is at equal distance from previous prime (8090081) and next prime (8090083).

It is not an unprimeable number, because it can be changed into a prime (8090081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17794 + ... + 18242.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 28090082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8090082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793600).

8090082 is an abundant number, since it is smaller than the sum of its proper divisors (15497118).

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

8090082 is a wasteful number, since it uses less digits than its factorization.

8090082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 8090082 is about 2844.3069454614. The cubic root of 8090082 is about 200.7478832010.

The spelling of 8090082 in words is "eight million, ninety thousand, eighty-two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 182 198 231 234 273 286 429 449 462 546 693 819 858 898 1001 1287 1347 1386 1638 2002 2574 2694 3003 3143 4041 4939 5837 6006 6286 8082 9009 9429 9878 11674 14817 17511 18018 18858 28287 29634 34573 35022 40859 44451 52533 56574 64207 69146 81718 88902 103719 105066 122577 128414 192621 207438 245154 311157 367731 385242 449449 577863 622314 735462 898898 1155726 1348347 2696694 4045041 8090082