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38643500 = 2253761181
BaseRepresentation
bin1001001101101…
…0011100101100
32200201021220202
42103122130230
534343043000
63500133032
7646315160
oct223323454
980637822
1038643500
111a8a4485
1210b37178
13801029c
1451bcca0
1535d4dd5
hex24da72c

38643500 has 96 divisors (see below), whose sum is σ = 98577024. Its totient is φ = 12960000.

The previous prime is 38643491. The next prime is 38643569. The reversal of 38643500 is 534683.

38643500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 213410 + ... + 213590.

It is an arithmetic number, because the mean of its divisors is an integer number (1026844).

Almost surely, 238643500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38643500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49288512).

38643500 is an abundant number, since it is smaller than the sum of its proper divisors (59933524).

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

38643500 is a wasteful number, since it uses less digits than its factorization.

38643500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 38643500 is about 6216.3896274284. The cubic root of 38643500 is about 338.0846746998.

The spelling of 38643500 in words is "thirty-eight million, six hundred forty-three thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 61 70 100 122 125 140 175 181 244 250 305 350 362 427 500 610 700 724 854 875 905 1220 1267 1525 1708 1750 1810 2135 2534 3050 3500 3620 4270 4525 5068 6100 6335 7625 8540 9050 10675 11041 12670 15250 18100 21350 22082 22625 25340 30500 31675 42700 44164 45250 53375 55205 63350 77287 90500 106750 110410 126700 154574 158375 213500 220820 276025 309148 316750 386435 552050 633500 772870 1104100 1380125 1545740 1932175 2760250 3864350 5520500 7728700 9660875 19321750 38643500