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284138856 = 233241101953
BaseRepresentation
bin10000111011111…
…001110101101000
3201210122202020100
4100323321311220
51040214420411
644110025400
710020066111
oct2073716550
9653582210
10284138856
11136430801
127b1a8260
1346b36501
1429a45208
1519e29456
hex10ef9d68

284138856 has 96 divisors (see below), whose sum is σ = 796952520. Its totient is φ = 91392000.

The previous prime is 284138843. The next prime is 284138861. The reversal of 284138856 is 658831482.

It can be written as a sum of positive squares in 4 ways, for example, as 236113956 + 48024900 = 15366^2 + 6930^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297676 + ... + 298628.

Almost surely, 2284138856 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 284138856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398476260).

284138856 is an abundant number, since it is smaller than the sum of its proper divisors (512813664).

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

284138856 is a wasteful number, since it uses less digits than its factorization.

284138856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1100 counting only the distinct ones).

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

The square root of 284138856 is about 16856.4188367518. The cubic root of 284138856 is about 657.4209544167.

The spelling of 284138856 in words is "two hundred eighty-four million, one hundred thirty-eight thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 101 123 164 202 246 303 328 369 404 492 606 738 808 909 953 984 1212 1476 1818 1906 2424 2859 2952 3636 3812 4141 5718 7272 7624 8282 8577 11436 12423 16564 17154 22872 24846 33128 34308 37269 39073 49692 68616 74538 78146 96253 99384 117219 149076 156292 192506 234438 288759 298152 312584 351657 385012 468876 577518 703314 770024 866277 937752 1155036 1406628 1732554 2310072 2813256 3465108 3946373 6930216 7892746 11839119 15785492 23678238 31570984 35517357 47356476 71034714 94712952 142069428 284138856