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38728261 = 11131789179
BaseRepresentation
bin1001001110111…
…1001001000101
32200212121012001
42103233021011
534403301021
63502025301
7650120245
oct223571105
980777161
1038728261
111a952130
1210b78231
13803ca40
145201b25
153600091
hex24ef245

38728261 has 32 divisors (see below), whose sum is σ = 48988800. Its totient is φ = 30074880.

The previous prime is 38728259. The next prime is 38728271. The reversal of 38728261 is 16282783.

38728261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38728261 - 21 = 38728259 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38728261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38728241) 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 31 ways as a sum of consecutive naturals, for example, 216270 + ... + 216448.

It is an arithmetic number, because the mean of its divisors is an integer number (1530900).

Almost surely, 238728261 is an apocalyptic number.

It is an amenable number.

38728261 is a deficient number, since it is larger than the sum of its proper divisors (10260539).

38728261 is a wasteful number, since it uses less digits than its factorization.

38728261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309.

The product of its digits is 32256, while the sum is 37.

The square root of 38728261 is about 6223.2034355306. The cubic root of 38728261 is about 338.3316801804.

The spelling of 38728261 in words is "thirty-eight million, seven hundred twenty-eight thousand, two hundred sixty-one".

Divisors: 1 11 13 17 89 143 179 187 221 979 1157 1513 1969 2327 2431 3043 12727 15931 16643 19669 25597 33473 39559 175241 207103 216359 270827 435149 2278133 2979097 3520751 38728261