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4076289 = 32789727
BaseRepresentation
bin1111100011001100000001
321200002121200
433203030001
52020420124
6223211413
746435140
oct17431401
97602550
104076289
112334638
121446b69
13ac9509
14781757
15557bc9
hex3e3301

4076289 has 24 divisors (see below), whose sum is σ = 6814080. Its totient is φ = 2299968.

The previous prime is 4076287. The next prime is 4076291. The reversal of 4076289 is 9826704.

It is an interprime number because it is at equal distance from previous prime (4076287) and next prime (4076291).

It is not a de Polignac number, because 4076289 - 21 = 4076287 is a prime.

It is a super-3 number, since 3×40762893 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

4076289 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4076287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5244 + ... + 5970.

It is an arithmetic number, because the mean of its divisors is an integer number (283920).

Almost surely, 24076289 is an apocalyptic number.

It is an amenable number.

4076289 is a deficient number, since it is larger than the sum of its proper divisors (2737791).

4076289 is a wasteful number, since it uses less digits than its factorization.

4076289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4076289 is about 2018.9821693121. The cubic root of 4076289 is about 159.7429335556.

The spelling of 4076289 in words is "four million, seventy-six thousand, two hundred eighty-nine".

Divisors: 1 3 7 9 21 63 89 267 623 727 801 1869 2181 5089 5607 6543 15267 45801 64703 194109 452921 582327 1358763 4076289