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3830520852 = 22321716933697
BaseRepresentation
bin1110010001010001…
…0001110000010100
3100212221210121202200
43210110101300110
530321103131402
61432033204500
7163631614164
oct34424216024
910787717680
103830520852
111696258014
128aaa00730
134907924b2
14284a385a4
1517644921c
hexe4511c14

3830520852 has 72 divisors (see below), whose sum is σ = 10261106856. Its totient is φ = 1200697344.

The previous prime is 3830520839. The next prime is 3830520871. The reversal of 3830520852 is 2580250383.

3830520852 is a `hidden beast` number, since 3 + 83 + 0 + 520 + 8 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 215384976 + 3615135876 = 14676^2 + 60126^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1034268 + ... + 1037964.

It is an arithmetic number, because the mean of its divisors is an integer number (142515373).

Almost surely, 23830520852 is an apocalyptic number.

It is an amenable number.

3830520852 is an abundant number, since it is smaller than the sum of its proper divisors (6430586004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3830520852 is a wasteful number, since it uses less digits than its factorization.

3830520852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5417 (or 5412 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3830520852 is about 61891.2017333643. The cubic root of 3830520852 is about 1564.6574666381.

The spelling of 3830520852 in words is "three billion, eight hundred thirty million, five hundred twenty thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1693 3386 3697 5079 6772 7394 10158 11091 14788 15237 20316 22182 28781 30474 33273 44364 57562 60948 62849 66546 86343 115124 125698 133092 172686 188547 251396 259029 345372 377094 518058 565641 754188 1036116 1131282 2262564 6259021 12518042 18777063 25036084 37554126 56331189 75108252 106403357 112662378 212806714 225324756 319210071 425613428 638420142 957630213 1276840284 1915260426 3830520852