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38058930 = 23357131549
BaseRepresentation
bin1001000100101…
…1101110110010
32122121121001000
42101023232302
534220341210
63435422430
7641331660
oct221135662
978547030
1038058930
111a535268
12108b4a16
137b671a0
1450a9c30
15351bac0
hex244bbb2

38058930 has 128 divisors (see below), whose sum is σ = 124992000. Its totient is φ = 8024832.

The previous prime is 38058907. The next prime is 38058931. The reversal of 38058930 is 3985083.

38058930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (38058931) 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, 23796 + ... + 25344.

It is an arithmetic number, because the mean of its divisors is an integer number (976500).

Almost surely, 238058930 is an apocalyptic number.

38058930 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 38058930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496000).

38058930 is an abundant number, since it is smaller than the sum of its proper divisors (86933070).

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

38058930 is a wasteful number, since it uses less digits than its factorization.

38058930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 38058930 is about 6169.1920054412. The cubic root of 38058930 is about 336.3712414554.

The spelling of 38058930 in words is "thirty-eight million, fifty-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 90 91 105 117 126 130 135 182 189 195 210 234 270 273 315 351 378 390 455 546 585 630 702 819 910 945 1170 1365 1549 1638 1755 1890 2457 2730 3098 3510 4095 4647 4914 7745 8190 9294 10843 12285 13941 15490 20137 21686 23235 24570 27882 32529 40274 41823 46470 54215 60411 65058 69705 83646 97587 100685 108430 120822 139410 140959 162645 181233 195174 201370 209115 281918 292761 302055 325290 362466 418230 422877 487935 543699 585522 604110 704795 845754 906165 975870 1087398 1268631 1409590 1463805 1812330 2114385 2537262 2718495 2927610 3805893 4228770 5436990 6343155 7611786 12686310 19029465 38058930