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38135125 = 537411063
BaseRepresentation
bin1001000101111…
…0010101010101
32122202110120001
42101132111111
534230311000
63441211301
7642100060
oct221362525
978673501
1038135125
111a587536
1210930b31
137b92a82
1450c98d7
15353446a
hex245e555

38135125 has 32 divisors (see below), whose sum is σ = 55770624. Its totient is φ = 25488000.

The previous prime is 38135113. The next prime is 38135129. The reversal of 38135125 is 52153183.

38135125 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 38135125 - 25 = 38135093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38135093 and 38135102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38135129) 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, 35344 + ... + 36406.

It is an arithmetic number, because the mean of its divisors is an integer number (1742832).

Almost surely, 238135125 is an apocalyptic number.

38135125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38135125 is a deficient number, since it is larger than the sum of its proper divisors (17635499).

38135125 is a wasteful number, since it uses less digits than its factorization.

38135125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1116 counting only the distinct ones).

The product of its digits is 3600, while the sum is 28.

The square root of 38135125 is about 6175.3643617199. The cubic root of 38135125 is about 336.5955665734.

The spelling of 38135125 in words is "thirty-eight million, one hundred thirty-five thousand, one hundred twenty-five".

Divisors: 1 5 7 25 35 41 125 175 205 287 875 1025 1063 1435 5125 5315 7175 7441 26575 35875 37205 43583 132875 186025 217915 305081 930125 1089575 1525405 5447875 7627025 38135125