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289993 = 1141643
BaseRepresentation
bin1000110110011001001
3112201210111
41012303021
533234433
610114321
72315314
oct1066311
9481714
10289993
11188970
1211b9a1
13a1cc2
147797b
155adcd
hex46cc9

289993 has 8 divisors (see below), whose sum is σ = 324576. Its totient is φ = 256800.

The previous prime is 289987. The next prime is 289999. The reversal of 289993 is 399982.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (289987) and next prime (289999).

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-289993 is a prime.

It is a Duffinian number.

289993 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130 + ... + 772.

It is an arithmetic number, because the mean of its divisors is an integer number (40572).

2289993 is an apocalyptic number.

It is an amenable number.

289993 is a deficient number, since it is larger than the sum of its proper divisors (34583).

289993 is a wasteful number, since it uses less digits than its factorization.

289993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695.

The product of its digits is 34992, while the sum is 40.

The square root of 289993 is about 538.5099813374. The cubic root of 289993 is about 66.1905269042.

It can be divided in two parts, 2899 and 93, that added together give a palindrome (2992).

The spelling of 289993 in words is "two hundred eighty-nine thousand, nine hundred ninety-three".

Divisors: 1 11 41 451 643 7073 26363 289993