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285109902 = 233711191359
BaseRepresentation
bin10000111111100…
…110111010001110
3201212111002021000
4100333212322032
51040442004102
644142521130
710031252130
oct2077467216
9655432230
10285109902
11136a34320
127b5961a6
13470b64ac
1429c19050
151a06c01c
hex10fe6e8e

285109902 has 128 divisors (see below), whose sum is σ = 796262400. Its totient is φ = 73461600.

The previous prime is 285109837. The next prime is 285109997. The reversal of 285109902 is 209901582.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 793999 + ... + 794357.

It is an arithmetic number, because the mean of its divisors is an integer number (6220800).

Almost surely, 2285109902 is an apocalyptic number.

285109902 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 285109902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398131200).

285109902 is an abundant number, since it is smaller than the sum of its proper divisors (511152498).

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

285109902 is a wasteful number, since it uses less digits than its factorization.

285109902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 285109902 is about 16885.1977187121. The cubic root of 285109902 is about 658.1690160576.

The spelling of 285109902 in words is "two hundred eighty-five million, one hundred nine thousand, nine hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 191 198 231 297 359 378 382 462 573 594 693 718 1077 1146 1337 1386 1719 2079 2101 2154 2513 2674 3231 3438 3949 4011 4158 4202 5026 5157 6303 6462 7539 7898 8022 9693 10314 11847 12033 12606 14707 15078 18909 19386 22617 23694 24066 27643 29414 35541 36099 37818 44121 45234 55286 56727 67851 68569 71082 72198 82929 88242 106623 113454 132363 135702 137138 165858 205707 213246 248787 264726 397089 411414 479983 497574 617121 746361 754259 794178 959966 1234242 1439949 1492722 1508518 1851363 2262777 2879898 3702726 4319847 4525554 5279813 6788331 8639694 10559626 12959541 13576662 15839439 20364993 25919082 31678878 40729986 47518317 95036634 142554951 285109902