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284237993 = 1353412537
BaseRepresentation
bin10000111100010…
…010000010101001
3201210211210020002
4100330102002221
51040231103433
644112112345
710020661124
oct2074220251
9653753202
10284237993
11136499236
127b2356b5
1346b6c680
1429a6d3bb
1519e489e8
hex10f120a9

284237993 has 8 divisors (see below), whose sum is σ = 311878728. Its totient is φ = 257422464.

The previous prime is 284237969. The next prime is 284238007. The reversal of 284237993 is 399732482.

It can be written as a sum of positive squares in 4 ways, for example, as 52954729 + 231283264 = 7277^2 + 15208^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 284237993 - 216 = 284172457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (284237923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205580 + ... + 206957.

It is an arithmetic number, because the mean of its divisors is an integer number (38984841).

Almost surely, 2284237993 is an apocalyptic number.

It is an amenable number.

284237993 is a deficient number, since it is larger than the sum of its proper divisors (27640735).

284237993 is a wasteful number, since it uses less digits than its factorization.

284237993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412603.

The product of its digits is 653184, while the sum is 47.

The square root of 284237993 is about 16859.3592108360. The cubic root of 284237993 is about 657.4974043183.

The spelling of 284237993 in words is "two hundred eighty-four million, two hundred thirty-seven thousand, nine hundred ninety-three".

Divisors: 1 13 53 689 412537 5362981 21864461 284237993