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286216 = 23719269
BaseRepresentation
bin1000101111000001000
3112112121121
41011320020
533124331
610045024
72301310
oct1057010
9475547
10286216
11186047
12119774
13a0378
1476440
1559c11
hex45e08

286216 has 32 divisors (see below), whose sum is σ = 648000. Its totient is φ = 115776.

The previous prime is 286199. The next prime is 286243. The reversal of 286216 is 612682.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 930 + ... + 1198.

It is an arithmetic number, because the mean of its divisors is an integer number (20250).

2286216 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 286216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324000).

286216 is an abundant number, since it is smaller than the sum of its proper divisors (361784).

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

286216 is a wasteful number, since it uses less digits than its factorization.

286216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 297 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 286216 is about 534.9915887189. The cubic root of 286216 is about 65.9019050862.

Adding to 286216 its reverse (612682), we get a palindrome (898898).

It can be divided in two parts, 286 and 216, that multiplied together give a triangular number (61776 = T351).

The spelling of 286216 in words is "two hundred eighty-six thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 269 532 538 1064 1076 1883 2152 3766 5111 7532 10222 15064 20444 35777 40888 71554 143108 286216