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28211316 = 22372937313
BaseRepresentation
bin110101110011…
…1100001110100
31222002021122120
41223213201310
524210230231
62444355540
7461535510
oct153474164
958067576
1028211316
1114a19641
129545bb0
135ac9ab3
143a65140
152723d96
hex1ae7874

28211316 has 96 divisors (see below), whose sum is σ = 80183040. Its totient is φ = 7547904.

The previous prime is 28211303. The next prime is 28211377. The reversal of 28211316 is 61311282.

28211316 is a nontrivial binomial coefficient, being equal to C(7512, 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89976 + ... + 90288.

It is an arithmetic number, because the mean of its divisors is an integer number (835240).

Almost surely, 228211316 is an apocalyptic number.

28211316 is the 7511-st triangular number and also the 3756-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28211316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40091520).

28211316 is an abundant number, since it is smaller than the sum of its proper divisors (51971724).

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

28211316 is a wasteful number, since it uses less digits than its factorization.

28211316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 391 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 28211316 is about 5311.4325751157. The cubic root of 28211316 is about 304.4208880411.

Adding to 28211316 its reverse (61311282), we get a palindrome (89522598).

The spelling of 28211316 in words is "twenty-eight million, two hundred eleven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 37 42 58 74 84 87 111 116 148 174 203 222 259 313 348 406 444 518 609 626 777 812 939 1036 1073 1218 1252 1554 1878 2146 2191 2436 3108 3219 3756 4292 4382 6438 6573 7511 8764 9077 11581 12876 13146 15022 18154 22533 23162 26292 27231 30044 34743 36308 45066 46324 54462 63539 69486 81067 90132 108924 127078 138972 162134 190617 243201 254156 324268 335849 381234 486402 671698 762468 972804 1007547 1343396 2015094 2350943 4030188 4701886 7052829 9403772 14105658 28211316