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8016282 = 2321722367
BaseRepresentation
bin11110100101000110011010
3120002021021100
4132211012122
54023010112
6443452230
7125065041
oct36450632
916067240
108016282
11458582a
122827076
131878981
1410c9558
15a852dc
hex7a519a

8016282 has 72 divisors (see below), whose sum is σ = 19539936. Its totient is φ = 2369664.

The previous prime is 8016257. The next prime is 8016287. The reversal of 8016282 is 2826108.

It is a super-3 number, since 3×80162823 (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (8016287) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 119613 + ... + 119679.

It is an arithmetic number, because the mean of its divisors is an integer number (271388).

Almost surely, 28016282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8016282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9769968).

8016282 is an abundant number, since it is smaller than the sum of its proper divisors (11523654).

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

8016282 is a wasteful number, since it uses less digits than its factorization.

8016282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8016282 is about 2831.3039398835. The cubic root of 8016282 is about 200.1355913874.

The spelling of 8016282 in words is "eight million, sixteen thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 67 69 102 134 138 153 201 207 289 306 391 402 414 578 603 782 867 1139 1173 1206 1541 1734 2278 2346 2601 3082 3417 3519 4623 5202 6647 6834 7038 9246 10251 13294 13869 19363 19941 20502 26197 27738 38726 39882 52394 58089 59823 78591 116178 119646 157182 174267 235773 348534 445349 471546 890698 1336047 2672094 4008141 8016282