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284672 = 211139
BaseRepresentation
bin1000101100000000000
3112110111102
41011200000
533102142
610033532
72263643
oct1054000
9473442
10284672
11184973
121188a8
139c75b
1475a5a
1559532
hex45800

284672 has 24 divisors (see below), whose sum is σ = 573300. Its totient is φ = 141312.

The previous prime is 284659. The next prime is 284681. The reversal of 284672 is 276482.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 284672.

It is an unprimeable number.

284672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1979 + ... + 2117.

284672 is a Friedman number, since it can be written as 278*2^(6+4), using all its digits and the basic arithmetic operations.

2284672 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 284672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286650).

284672 is an abundant number, since it is smaller than the sum of its proper divisors (288628).

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

284672 is an equidigital number, since it uses as much as digits as its factorization.

284672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 141 counting only the distinct ones).

The product of its digits is 5376, while the sum is 29.

The square root of 284672 is about 533.5466240171. The cubic root of 284672 is about 65.7831881490.

It can be divided in two parts, 28 and 4672, that multiplied together give a triangular number (130816 = T511).

The spelling of 284672 in words is "two hundred eighty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 139 256 278 512 556 1024 1112 2048 2224 4448 8896 17792 35584 71168 142336 284672