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288693 = 3232077
BaseRepresentation
bin1000110011110110101
3112200000100
41012132311
533214233
610104313
72311446
oct1063665
9480010
10288693
11187999
1211b099
13a1532
14772cd
155a813
hex467b5

288693 has 6 divisors (see below), whose sum is σ = 417014. Its totient is φ = 192456.

The previous prime is 288689. The next prime is 288697. The reversal of 288693 is 396882.

It is an interprime number because it is at equal distance from previous prime (288689) and next prime (288697).

It can be written as a sum of positive squares in only one way, i.e., 288369 + 324 = 537^2 + 18^2 .

It is not a de Polignac number, because 288693 - 22 = 288689 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288697) 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 5 ways as a sum of consecutive naturals, for example, 16030 + ... + 16047.

288693 is a Friedman number, since it can be written as 9+(8+6^2)*3^8, using all its digits and the basic arithmetic operations.

2288693 is an apocalyptic number.

It is an amenable number.

288693 is a deficient number, since it is larger than the sum of its proper divisors (128321).

288693 is a wasteful number, since it uses less digits than its factorization.

288693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32083 (or 32080 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 288693 is about 537.3015912874. The cubic root of 288693 is about 66.0914709658.

The spelling of 288693 in words is "two hundred eighty-eight thousand, six hundred ninety-three".

Divisors: 1 3 9 32077 96231 288693