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4133089 = 1921072
BaseRepresentation
bin1111110001000011100001
321202222112101
433301003201
52024224324
6224330401
750062552
oct17610341
97688471
104133089
112373284
121473a01
13b1931c
14798329
15569944
hex3f10e1

4133089 has 9 divisors (see below), whose sum is σ = 4403217. Its totient is φ = 3878964.

The previous prime is 4133069. The next prime is 4133113. The reversal of 4133089 is 9803314.

The square root of 4133089 is 2033.

It is a perfect power (a square), and thus also a powerful number.

4133089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4133089 - 29 = 4132577 is a prime.

It is a Duffinian number.

4133089 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4133069) 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 8 ways as a sum of consecutive naturals, for example, 38574 + ... + 38680.

Almost surely, 24133089 is an apocalyptic number.

4133089 is the 2033-rd square number.

4133089 is the 1017-th centered octagonal number.

It is an amenable number.

4133089 is a deficient number, since it is larger than the sum of its proper divisors (270128).

4133089 is an equidigital number, since it uses as much as digits as its factorization.

4133089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The cubic root of 4133089 is about 160.4814793444.

The spelling of 4133089 in words is "four million, one hundred thirty-three thousand, eighty-nine".

Divisors: 1 19 107 361 2033 11449 38627 217531 4133089