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28200312 = 233476217
BaseRepresentation
bin110101110010…
…0110101111000
31222001201120000
41223210311320
524204402222
62444233000
7461461440
oct153446570
958051500
1028200312
1114a11348
12953b760
135ac4a9a
143a61120
1527209ac
hex1ae4d78

28200312 has 80 divisors (see below), whose sum is σ = 90285360. Its totient is φ = 8055936.

The previous prime is 28200287. The next prime is 28200349. The reversal of 28200312 is 21300282.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1428 + ... + 7644.

It is an arithmetic number, because the mean of its divisors is an integer number (1128567).

Almost surely, 228200312 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 28200312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45142680).

28200312 is an abundant number, since it is smaller than the sum of its proper divisors (62085048).

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

28200312 is a wasteful number, since it uses less digits than its factorization.

28200312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6242 (or 6229 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 28200312 is about 5310.3965953590. The cubic root of 28200312 is about 304.3813024709.

Adding to 28200312 its reverse (21300282), we get a palindrome (49500594).

The spelling of 28200312 in words is "twenty-eight million, two hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 6217 12434 18651 24868 37302 43519 49736 55953 74604 87038 111906 130557 149208 167859 174076 223812 261114 335718 348152 391671 447624 503577 522228 671436 783342 1007154 1044456 1175013 1342872 1566684 2014308 2350026 3133368 3525039 4028616 4700052 7050078 9400104 14100156 28200312