Search a number
-
+
38356605 = 3357371097
BaseRepresentation
bin1001001001010…
…0011001111101
32200011201101000
42102110121331
534304402410
63450040513
7644011560
oct222243175
980151330
1038356605
111a718981
1210a19139
137c3c821
1451464d7
153579dc0
hex249467d

38356605 has 64 divisors (see below), whose sum is σ = 80110080. Its totient is φ = 17044992.

The previous prime is 38356603. The next prime is 38356621. The reversal of 38356605 is 50665383.

38356605 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 38356605 - 21 = 38356603 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 38356605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38356601) 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 63 ways as a sum of consecutive naturals, for example, 34417 + ... + 35513.

It is an arithmetic number, because the mean of its divisors is an integer number (1251720).

Almost surely, 238356605 is an apocalyptic number.

38356605 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38356605 is an abundant number, since it is smaller than the sum of its proper divisors (41753475).

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

38356605 is a wasteful number, since it uses less digits than its factorization.

38356605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 38356605 is about 6193.2709451468. The cubic root of 38356605 is about 337.2459322443.

It can be divided in two parts, 3835 and 6605, that added together give a triangular number (10440 = T144).

The spelling of 38356605 in words is "thirty-eight million, three hundred fifty-six thousand, six hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 37 45 63 105 111 135 185 189 259 315 333 555 777 945 999 1097 1295 1665 2331 3291 3885 4995 5485 6993 7679 9873 11655 16455 23037 29619 34965 38395 40589 49365 69111 115185 121767 148095 202945 207333 284123 345555 365301 608835 852369 1036665 1095903 1420615 1826505 2557107 4261845 5479515 7671321 12785535 38356605