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38114289 = 32172310831
BaseRepresentation
bin1001000101100…
…1001111110001
32122201101222100
42101121033301
534224124124
63440531013
7641652243
oct221311761
978641870
1038114289
111a572914
1210920a69
137b86445
1450c2093
15352d1c9
hex24593f1

38114289 has 24 divisors (see below), whose sum is σ = 60832512. Its totient is φ = 22872960.

The previous prime is 38114287. The next prime is 38114309. The reversal of 38114289 is 98241183.

38114289 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 38114289 - 21 = 38114287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38114281) 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 23 ways as a sum of consecutive naturals, for example, 1897 + ... + 8934.

It is an arithmetic number, because the mean of its divisors is an integer number (2534688).

Almost surely, 238114289 is an apocalyptic number.

It is an amenable number.

38114289 is a deficient number, since it is larger than the sum of its proper divisors (22718223).

38114289 is a wasteful number, since it uses less digits than its factorization.

38114289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10877 (or 10874 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 38114289 is about 6173.6771052591. The cubic root of 38114289 is about 336.5342531700.

It can be divided in two parts, 3811 and 4289, that added together give a square (8100 = 902).

The spelling of 38114289 in words is "thirty-eight million, one hundred fourteen thousand, two hundred eighty-nine".

Divisors: 1 3 9 17 23 51 69 153 207 391 1173 3519 10831 32493 97479 184127 249113 552381 747339 1657143 2242017 4234921 12704763 38114289