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3839440905 = 34517975749
BaseRepresentation
bin1110010011011001…
…0011100000001001
3100220120120210210000
43210312103200021
530330344102110
61432552313213
7164100465156
oct34466234011
910816523700
103839440905
1116a029a863
128b19a2809
13492596631
14285cbb22d
1517710c1c0
hexe4d93809

3839440905 has 80 divisors (see below), whose sum is σ = 7363818000. Its totient is φ = 1907048448.

The previous prime is 3839440897. The next prime is 3839440909. The reversal of 3839440905 is 5090449383.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 285373449 + 3554067456 = 16893^2 + 59616^2 .

It is not a de Polignac number, because 3839440905 - 23 = 3839440897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3839440909) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 664971 + ... + 670719.

It is an arithmetic number, because the mean of its divisors is an integer number (92047725).

Almost surely, 23839440905 is an apocalyptic number.

It is an amenable number.

3839440905 is a deficient number, since it is larger than the sum of its proper divisors (3524377095).

3839440905 is a wasteful number, since it uses less digits than its factorization.

3839440905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5880 (or 5871 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3839440905 is about 61963.2221967192. Note that the first 3 decimals coincide. The cubic root of 3839440905 is about 1565.8710533717.

The spelling of 3839440905 in words is "three billion, eight hundred thirty-nine million, four hundred forty thousand, nine hundred five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 97 135 153 255 291 405 459 485 765 873 1377 1455 1649 2295 2619 4365 4947 5749 6885 7857 8245 13095 14841 17247 24735 28745 39285 44523 51741 74205 86235 97733 133569 155223 222615 258705 293199 465669 488665 557653 667845 776115 879597 1465995 1672959 2328345 2638791 2788265 4397985 5018877 7916373 8364795 9480101 13193955 15056631 25094385 28440303 39581865 45169893 47400505 75283155 85320909 142201515 225849465 255962727 426604545 767888181 1279813635 3839440905