Search a number
-
+
38065950 = 2355213241
BaseRepresentation
bin1001000100110…
…1011100011110
32122121221200000
42101031130132
534221102300
63435515130
7641361306
oct221153436
978557600
1038065950
111a53a56a
12108b8aa6
137b6a440
1450ac606
15351dc00
hex244d71e

38065950 has 144 divisors (see below), whose sum is σ = 114690576. Its totient is φ = 9331200.

The previous prime is 38065939. The next prime is 38065957. The reversal of 38065950 is 5956083.

38065950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38065957) 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 71 ways as a sum of consecutive naturals, for example, 157830 + ... + 158070.

Almost surely, 238065950 is an apocalyptic number.

38065950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38065950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57345288).

38065950 is an abundant number, since it is smaller than the sum of its proper divisors (76624626).

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

38065950 is a wasteful number, since it uses less digits than its factorization.

38065950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 38065950 is about 6169.7609354010. The cubic root of 38065950 is about 336.3919214986.

The spelling of 38065950 in words is "thirty-eight million, sixty-five thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 81 90 117 130 135 150 162 195 225 234 241 243 270 325 351 390 405 450 482 486 585 650 675 702 723 810 975 1053 1170 1205 1215 1350 1446 1755 1950 2025 2106 2169 2410 2430 2925 3133 3159 3510 3615 4050 4338 5265 5850 6025 6075 6266 6318 6507 7230 8775 9399 10530 10845 12050 12150 13014 15665 15795 17550 18075 18798 19521 21690 26325 28197 31330 31590 32535 36150 39042 46995 52650 54225 56394 58563 65070 78325 78975 84591 93990 97605 108450 117126 140985 156650 157950 162675 169182 195210 234975 253773 281970 292815 325350 422955 469950 488025 507546 585630 704925 761319 845910 976050 1268865 1409850 1464075 1522638 2114775 2537730 2928150 3806595 4229550 6344325 7613190 12688650 19032975 38065950