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38265045 = 3571317297
BaseRepresentation
bin1001000111111…
…0000011010101
32200000001202220
42101332003111
534243440140
63444052553
7643150620
oct221760325
980001686
1038265045
111a666105
1210994159
137c09c50
145120db7
15355cbd0
hex247e0d5

38265045 has 96 divisors (see below), whose sum is σ = 80871168. Its totient is φ = 15040512.

The previous prime is 38265043. The next prime is 38265047. The reversal of 38265045 is 54056283.

38265045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38265043) and next prime (38265047).

It is not a de Polignac number, because 38265045 - 21 = 38265043 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38264997 and 38265015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38265043) 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 95 ways as a sum of consecutive naturals, for example, 394437 + ... + 394533.

It is an arithmetic number, because the mean of its divisors is an integer number (842408).

Almost surely, 238265045 is an apocalyptic number.

38265045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38265045 is an abundant number, since it is smaller than the sum of its proper divisors (42606123).

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

38265045 is a wasteful number, since it uses less digits than its factorization.

38265045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 38265045 is about 6185.8746350051. The cubic root of 38265045 is about 336.9773749365.

The spelling of 38265045 in words is "thirty-eight million, two hundred sixty-five thousand, forty-five".

Divisors: 1 3 5 7 13 15 17 21 35 39 51 65 85 91 97 105 119 195 221 255 273 289 291 357 455 485 595 663 679 867 1105 1261 1365 1445 1455 1547 1649 1785 2023 2037 3315 3395 3757 3783 4335 4641 4947 6069 6305 7735 8245 8827 10115 10185 11271 11543 18785 18915 21437 23205 24735 26299 26481 28033 30345 34629 44135 56355 57715 64311 78897 84099 107185 131495 132405 140165 150059 173145 196231 321555 364429 394485 420495 450177 588693 750295 981155 1093287 1822145 2250885 2551003 2943465 5466435 7653009 12755015 38265045