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38575125 = 3253172017
BaseRepresentation
bin1001001100100…
…1110000010101
32200120211010100
42103021300111
534333401000
63454444313
7645611631
oct223116025
980524110
1038575125
111a858076
1210b03699
137cb8124
1451a1dc1
1535bea00
hex24c9c15

38575125 has 48 divisors (see below), whose sum is σ = 73665072. Its totient is φ = 19353600.

The previous prime is 38575099. The next prime is 38575151. The reversal of 38575125 is 52157583.

It is an interprime number because it is at equal distance from previous prime (38575099) and next prime (38575151).

It can be written as a sum of positive squares in 8 ways, for example, as 2683044 + 35892081 = 1638^2 + 5991^2 .

It is not a de Polignac number, because 38575125 - 25 = 38575093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 38575125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18117 + ... + 20133.

It is an arithmetic number, because the mean of its divisors is an integer number (1534689).

Almost surely, 238575125 is an apocalyptic number.

It is an amenable number.

38575125 is a deficient number, since it is larger than the sum of its proper divisors (35089947).

38575125 is a wasteful number, since it uses less digits than its factorization.

38575125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2042 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 38575125 is about 6210.8876177242. The cubic root of 38575125 is about 337.8851569972.

The spelling of 38575125 in words is "thirty-eight million, five hundred seventy-five thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 125 153 225 255 375 425 765 1125 1275 2017 2125 3825 6051 6375 10085 18153 19125 30255 34289 50425 90765 102867 151275 171445 252125 308601 453825 514335 756375 857225 1543005 2269125 2571675 4286125 7715025 12858375 38575125