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38138509 = 292101449
BaseRepresentation
bin1001000101111…
…1001010001101
32122202122012101
42101133022031
534230413014
63441235101
7642112663
oct221371215
978678171
1038138509
111a58a032
1210932a91
137b94486
1450cac33
153535474
hex245f28d

38138509 has 12 divisors (see below), whose sum is σ = 39978900. Its totient is φ = 36377600.

The previous prime is 38138467. The next prime is 38138519. The reversal of 38138509 is 90583183.

38138509 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 5076009 + 33062500 = 2253^2 + 5750^2 .

It is not a de Polignac number, because 38138509 - 27 = 38138381 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38138519) 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 11 ways as a sum of consecutive naturals, for example, 84717 + ... + 85165.

It is an arithmetic number, because the mean of its divisors is an integer number (3331575).

Almost surely, 238138509 is an apocalyptic number.

It is an amenable number.

38138509 is a deficient number, since it is larger than the sum of its proper divisors (1840391).

38138509 is a wasteful number, since it uses less digits than its factorization.

38138509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 38138509 is about 6175.6383475719. The cubic root of 38138509 is about 336.6055224492.

The spelling of 38138509 in words is "thirty-eight million, one hundred thirty-eight thousand, five hundred nine".

Divisors: 1 29 101 449 841 2929 13021 45349 84941 377609 1315121 38138509