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38728125 = 365517
BaseRepresentation
bin1001001110111…
…1000110111101
32200212121000000
42103233012331
534403300000
63502024513
7650116662
oct223570675
980777000
1038728125
111a952017
1210b78139
13803c967
145201a69
153600000
hex24ef1bd

38728125 has 84 divisors (see below), whose sum is σ = 76846644. Its totient is φ = 19440000.

The previous prime is 38728121. The next prime is 38728127. The reversal of 38728125 is 52182783.

It can be written as a sum of positive squares in 6 ways, for example, as 27154521 + 11573604 = 5211^2 + 3402^2 .

It is not a de Polignac number, because 38728125 - 22 = 38728121 is a prime.

Its product of digits (26880) is a multiple of the sum of its prime factors (60).

It is a self number, because there is not a number n which added to its sum of digits gives 38728125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38728121) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2278117 + ... + 2278133.

It is an arithmetic number, because the mean of its divisors is an integer number (914841).

Almost surely, 238728125 is an apocalyptic number.

It is an amenable number.

38728125 is a deficient number, since it is larger than the sum of its proper divisors (38118519).

38728125 is an frugal number, since it uses more digits than its factorization.

38728125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 25 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 38728125 is about 6223.1925086727. The cubic root of 38728125 is about 338.3312841461.

The spelling of 38728125 in words is "thirty-eight million, seven hundred twenty-eight thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 81 85 125 135 153 225 243 255 375 405 425 459 625 675 729 765 1125 1215 1275 1377 1875 2025 2125 2295 3125 3375 3645 3825 4131 5625 6075 6375 6885 9375 10125 10625 11475 12393 16875 18225 19125 20655 28125 30375 31875 34425 50625 53125 57375 61965 84375 91125 95625 103275 151875 159375 172125 253125 286875 309825 455625 478125 516375 759375 860625 1434375 1549125 2278125 2581875 4303125 7745625 12909375 38728125