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285316848 = 243217294019
BaseRepresentation
bin10001000000011…
…001011011110000
3201212212121010200
4101000121123300
51041020114343
644151155200
710033103355
oct2100313360
9655777120
10285316848
11137065853
127b675b00
134715974b
1429c7062c
151a0ad4d3
hex110196f0

285316848 has 120 divisors (see below), whose sum is σ = 874832400. Its totient is φ = 86403072.

The previous prime is 285316813. The next prime is 285316849. The reversal of 285316848 is 848613582.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285316849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68983 + ... + 73001.

It is an arithmetic number, because the mean of its divisors is an integer number (7290270).

Almost surely, 2285316848 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 285316848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437416200).

285316848 is an abundant number, since it is smaller than the sum of its proper divisors (589515552).

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

285316848 is a wasteful number, since it uses less digits than its factorization.

285316848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079 (or 4070 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 285316848 is about 16891.3246372213. The cubic root of 285316848 is about 658.3282207511.

It can be divided in two parts, 2853 and 16848, that added together give a triangular number (19701 = T198).

The spelling of 285316848 in words is "two hundred eighty-five million, three hundred sixteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 29 34 36 48 51 58 68 72 87 102 116 136 144 153 174 204 232 261 272 306 348 408 464 493 522 612 696 816 986 1044 1224 1392 1479 1972 2088 2448 2958 3944 4019 4176 4437 5916 7888 8038 8874 11832 12057 16076 17748 23664 24114 32152 35496 36171 48228 64304 68323 70992 72342 96456 116551 136646 144684 192912 204969 233102 273292 289368 349653 409938 466204 546584 578736 614907 699306 819876 932408 1048959 1093168 1229814 1398612 1639752 1864816 1981367 2097918 2459628 2797224 3279504 3962734 4195836 4919256 5594448 5944101 7925468 8391672 9838512 11888202 15850936 16783344 17832303 23776404 31701872 35664606 47552808 71329212 95105616 142658424 285316848