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2608289 = 29531697
BaseRepresentation
bin1001111100110010100001
311220111220022
421330302201
51131431124
6131523225
731112225
oct11746241
94814808
102608289
111521712
12a59515
13704288
144bc785
15367c5e
hex27cca1

2608289 has 8 divisors (see below), whose sum is σ = 2750760. Its totient is φ = 2469376.

The previous prime is 2608283. The next prime is 2608303. The reversal of 2608289 is 9828062.

2608289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1380625 + 1227664 = 1175^2 + 1108^2 .

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

It is not a de Polignac number, because 2608289 - 28 = 2608033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2608283) 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, 689 + ... + 2385.

It is an arithmetic number, because the mean of its divisors is an integer number (343845).

22608289 is an apocalyptic number.

2608289 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2608289 is a deficient number, since it is larger than the sum of its proper divisors (142471).

2608289 is a wasteful number, since it uses less digits than its factorization.

2608289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779.

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 2608289 is about 1615.0198141199. The cubic root of 2608289 is about 137.6528592040.

The spelling of 2608289 in words is "two million, six hundred eight thousand, two hundred eighty-nine".

Divisors: 1 29 53 1537 1697 49213 89941 2608289