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4052129333 = 721737731801
BaseRepresentation
bin1111000110000110…
…1001011000110101
3101110101210111110012
43301201221120311
531244321114313
61510031110005
7202262350100
oct36141513065
911411714405
104052129333
11179a35981a
12951072305
134c7674085
142a6243737
1518ab20da8
hexf1869635

4052129333 has 48 divisors (see below), whose sum is σ = 5198971824. Its totient is φ = 3135283200.

The previous prime is 4052129321. The next prime is 4052129387. The reversal of 4052129333 is 3339212504.

4052129333 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 8 ways, for example, as 161239204 + 3890890129 = 12698^2 + 62377^2 .

It is not a de Polignac number, because 4052129333 - 24 = 4052129317 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4052129333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4052129303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2249033 + ... + 2250833.

It is an arithmetic number, because the mean of its divisors is an integer number (108311913).

Almost surely, 24052129333 is an apocalyptic number.

It is an amenable number.

4052129333 is a deficient number, since it is larger than the sum of its proper divisors (1146842491).

4052129333 is a wasteful number, since it uses less digits than its factorization.

4052129333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The square root of 4052129333 is about 63656.3377284619. The cubic root of 4052129333 is about 1594.2671571713.

The spelling of 4052129333 in words is "four billion, fifty-two million, one hundred twenty-nine thousand, three hundred thirty-three".

Divisors: 1 7 17 37 49 73 119 259 511 629 833 1241 1801 1813 2701 3577 4403 8687 12607 18907 30617 30821 45917 60809 66637 88249 131473 132349 214319 321419 466459 920311 1132829 1500233 2235041 2249933 3265213 4864501 6442177 7929803 15645287 34051507 55508621 82696517 109517009 238360549 578875619 4052129333