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284096112 = 24317536569
BaseRepresentation
bin10000111011101…
…111011001110000
3201210120120121020
4100323233121300
51040212033422
644105055440
710016530356
oct2073573160
9653516536
10284096112
11136401683
127b187580
1346b1cc11
1429a337d6
1519e1b95c
hex10eef670

284096112 has 80 divisors (see below), whose sum is σ = 791868960. Its totient is φ = 87433216.

The previous prime is 284096083. The next prime is 284096119. The reversal of 284096112 is 211690482.

284096112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284096119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39964 + ... + 46532.

It is an arithmetic number, because the mean of its divisors is an integer number (9898362).

Almost surely, 2284096112 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 284096112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395934480).

284096112 is an abundant number, since it is smaller than the sum of its proper divisors (507772848).

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

284096112 is a wasteful number, since it uses less digits than its factorization.

284096112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6650 (or 6644 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 284096112 is about 16855.1509041005. The cubic root of 284096112 is about 657.3879867204.

The spelling of 284096112 in words is "two hundred eighty-four million, ninety-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 53 68 102 106 136 159 204 212 272 318 408 424 636 816 848 901 1272 1802 2544 2703 3604 5406 6569 7208 10812 13138 14416 19707 21624 26276 39414 43248 52552 78828 105104 111673 157656 223346 315312 335019 348157 446692 670038 696314 893384 1044471 1340076 1392628 1786768 2088942 2680152 2785256 4177884 5360304 5570512 5918669 8355768 11837338 16711536 17756007 23674676 35512014 47349352 71024028 94698704 142048056 284096112