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38428110 = 23257181337
BaseRepresentation
bin1001001010010…
…1110111001110
32200022100110100
42102211313032
534314144420
63451351530
7644430210
oct222456716
980270410
1038428110
111a767676
1210a525a6
137c66236
1451645b0
153591190
hex24a5dce

38428110 has 96 divisors (see below), whose sum is σ = 115157952. Its totient is φ = 8709120.

The previous prime is 38428099. The next prime is 38428129. The reversal of 38428110 is 1182483.

38428110 is a `hidden beast` number, since 384 + 281 + 1 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113862 + ... + 114198.

It is an arithmetic number, because the mean of its divisors is an integer number (1199562).

Almost surely, 238428110 is an apocalyptic number.

38428110 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 38428110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57578976).

38428110 is an abundant number, since it is smaller than the sum of its proper divisors (76729842).

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

38428110 is a wasteful number, since it uses less digits than its factorization.

38428110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 38428110 is about 6199.0410548729. The cubic root of 38428110 is about 337.4553685837.

The spelling of 38428110 in words is "thirty-eight million, four hundred twenty-eight thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 181 210 315 337 362 543 630 674 905 1011 1086 1267 1629 1685 1810 2022 2359 2534 2715 3033 3258 3370 3801 4718 5055 5430 6066 6335 7077 7602 8145 10110 11403 11795 12670 14154 15165 16290 19005 21231 22806 23590 30330 35385 38010 42462 57015 60997 70770 106155 114030 121994 182991 212310 304985 365982 426979 548973 609970 853958 914955 1097946 1280937 1829910 2134895 2561874 2744865 3842811 4269790 5489730 6404685 7685622 12809370 19214055 38428110