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38260950 = 23527132803
BaseRepresentation
bin1001000111110…
…1000011010110
32122222212011020
42101331003112
534243322300
63444022010
7643132650
oct221750326
978885136
1038260950
111a663022
1210991906
137c08120
14511d6d0
15355b8a0
hex247d0d6

38260950 has 96 divisors (see below), whose sum is σ = 116825856. Its totient is φ = 8069760.

The previous prime is 38260939. The next prime is 38260951. The reversal of 38260950 is 5906283.

It is a happy number.

38260950 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 (38260951) 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 47 ways as a sum of consecutive naturals, for example, 12249 + ... + 15051.

It is an arithmetic number, because the mean of its divisors is an integer number (1216936).

Almost surely, 238260950 is an apocalyptic number.

38260950 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 38260950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58412928).

38260950 is an abundant number, since it is smaller than the sum of its proper divisors (78564906).

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

38260950 is a wasteful number, since it uses less digits than its factorization.

38260950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 38260950 is about 6185.5436301105. The cubic root of 38260950 is about 336.9653537687.

The spelling of 38260950 in words is "thirty-eight million, two hundred sixty thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 25 26 30 35 39 42 50 65 70 75 78 91 105 130 150 175 182 195 210 273 325 350 390 455 525 546 650 910 975 1050 1365 1950 2275 2730 2803 4550 5606 6825 8409 13650 14015 16818 19621 28030 36439 39242 42045 58863 70075 72878 84090 98105 109317 117726 140150 182195 196210 210225 218634 255073 294315 364390 420450 490525 510146 546585 588630 765219 910975 981050 1093170 1275365 1471575 1530438 1821950 2550730 2732925 2943150 3826095 5465850 6376825 7652190 12753650 19130475 38260950