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284468193 = 36616397
BaseRepresentation
bin10000111101001…
…010001111100001
3201211021111000000
4100331022033201
51040310440233
644121050213
710022640222
oct2075121741
9654244000
10284468193
11136636189
127b326969
1346c20399
1429acd249
1519e91d13
hex10f4a3e1

284468193 has 28 divisors (see below), whose sum is σ = 433566868. Its totient is φ = 186507360.

The previous prime is 284468159. The next prime is 284468213. The reversal of 284468193 is 391864482.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5143824 + 279324369 = 2268^2 + 16713^2 .

It is a de Polignac number, because none of the positive numbers 2k-284468193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (284468113) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 41271 + ... + 47667.

It is an arithmetic number, because the mean of its divisors is an integer number (15484531).

Almost surely, 2284468193 is an apocalyptic number.

It is an amenable number.

284468193 is a deficient number, since it is larger than the sum of its proper divisors (149098675).

284468193 is an frugal number, since it uses more digits than its factorization.

284468193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6476 (or 6461 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 284468193 is about 16866.1848975991. The cubic root of 284468193 is about 657.6748554500.

The spelling of 284468193 in words is "two hundred eighty-four million, four hundred sixty-eight thousand, one hundred ninety-three".

Divisors: 1 3 9 27 61 81 183 243 549 729 1647 4941 6397 14823 19191 44469 57573 172719 390217 518157 1170651 1554471 3511953 4663413 10535859 31607577 94822731 284468193