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3848313645 = 34511559
BaseRepresentation
bin1110010101100000…
…1001101100101101
3100221012021120220000
43211120021230231
530340132014040
61433510414513
7164236061211
oct34530115455
910835246800
103848313645
1116a5300000
128b4961439
13494382087
1428714a941
15177cb1130
hexe5609b2d

3848313645 has 120 divisors (see below), whose sum is σ = 7716915360. Its totient is φ = 1834224480.

The previous prime is 3848313643. The next prime is 3848313653. The reversal of 3848313645 is 5463138483.

3848313645 is a `hidden beast` number, since 38 + 483 + 136 + 4 + 5 = 666.

3848313645 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 3848313645 - 21 = 3848313643 is a prime.

It is a super-3 number, since 3×38483136453 (a number of 30 digits) contains 333 as substring.

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

Together with 3868601715 it forms an amicable pair .

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 3848313645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3848313643) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 65225626 + ... + 65225684.

It is an arithmetic number, because the mean of its divisors is an integer number (64307628).

Almost surely, 23848313645 is an apocalyptic number.

It is an amenable number.

3848313645 is an abundant number, since it is smaller than the sum of its proper divisors (3868601715).

3848313645 is an frugal number, since it uses more digits than its factorization.

3848313645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 78 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 3848313645 is about 62034.7777057354. Note that the first 4 decimals coincide. The cubic root of 3848313645 is about 1567.0763397981.

The spelling of 3848313645 in words is "three billion, eight hundred forty-eight million, three hundred thirteen thousand, six hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 59 81 99 121 135 165 177 295 297 363 405 495 531 605 649 885 891 1089 1331 1485 1593 1815 1947 2655 3245 3267 3993 4455 4779 5445 5841 6655 7139 7965 9735 9801 11979 14641 16335 17523 19965 21417 23895 29205 35695 35937 43923 49005 52569 59895 64251 73205 78529 87615 107085 107811 131769 161051 179685 192753 219615 235587 262845 321255 392645 395307 483153 539055 578259 658845 706761 805255 863819 963765 1177935 1185921 1449459 1976535 2120283 2415765 2591457 2891295 3533805 4319095 4348377 5929605 6360849 7247295 7774371 9502009 10601415 12957285 13045131 21741885 23323113 28506027 31804245 38871855 47510045 65225655 69969339 85518081 116615565 142530135 256554243 349846695 427590405 769662729 1282771215 3848313645