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8085336 = 23371719149
BaseRepresentation
bin11110110101111101011000
3120012202222220
4132311331120
54032212321
6445144040
7125503260
oct36657530
916182886
108085336
1146226a6
12285b020
1318a122c
1411067a0
15a9a9c6
hex7b5f58

8085336 has 128 divisors (see below), whose sum is σ = 25920000. Its totient is φ = 2045952.

The previous prime is 8085331. The next prime is 8085347. The reversal of 8085336 is 6335808.

It is a junction number, because it is equal to n+sod(n) for n = 8085297 and 8085306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8085331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54190 + ... + 54338.

It is an arithmetic number, because the mean of its divisors is an integer number (202500).

Almost surely, 28085336 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 8085336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12960000).

8085336 is an abundant number, since it is smaller than the sum of its proper divisors (17834664).

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

8085336 is a wasteful number, since it uses less digits than its factorization.

8085336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 8085336 is about 2843.4725249244. The cubic root of 8085336 is about 200.7086196590.

The spelling of 8085336 in words is "eight million, eighty-five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 19 21 24 28 34 38 42 51 56 57 68 76 84 102 114 119 133 136 149 152 168 204 228 238 266 298 323 357 399 408 447 456 476 532 596 646 714 798 894 952 969 1043 1064 1192 1292 1428 1596 1788 1938 2086 2261 2533 2584 2831 2856 3129 3192 3576 3876 4172 4522 5066 5662 6258 6783 7599 7752 8344 8493 9044 10132 11324 12516 13566 15198 16986 17731 18088 19817 20264 22648 25032 27132 30396 33972 35462 39634 48127 53193 54264 59451 60792 67944 70924 79268 96254 106386 118902 141848 144381 158536 192508 212772 237804 288762 336889 385016 425544 475608 577524 673778 1010667 1155048 1347556 2021334 2695112 4042668 8085336