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4133689 = 72292909
BaseRepresentation
bin1111110001001100111001
321210000100121
433301030321
52024234224
6224333241
750064400
oct17611471
97700317
104133689
11237377a
121474221
13b19691
14798637
15569be4
hex3f1339

4133689 has 12 divisors (see below), whose sum is σ = 4976100. Its totient is φ = 3419808.

The previous prime is 4133663. The next prime is 4133693. The reversal of 4133689 is 9863314.

It can be written as a sum of positive squares in 2 ways, for example, as 2941225 + 1192464 = 1715^2 + 1092^2 .

It is not a de Polignac number, because 4133689 - 27 = 4133561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4133609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34 + ... + 2875.

It is an arithmetic number, because the mean of its divisors is an integer number (414675).

Almost surely, 24133689 is an apocalyptic number.

4133689 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

4133689 is a deficient number, since it is larger than the sum of its proper divisors (842411).

4133689 is a wasteful number, since it uses less digits than its factorization.

4133689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2945 counting only the distinct ones).

The product of its digits is 15552, while the sum is 34.

The square root of 4133689 is about 2033.1475598195. The cubic root of 4133689 is about 160.4892446606.

The spelling of 4133689 in words is "four million, one hundred thirty-three thousand, six hundred eighty-nine".

Divisors: 1 7 29 49 203 1421 2909 20363 84361 142541 590527 4133689