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38193849 = 341727737
BaseRepresentation
bin1001000110110…
…0101010111001
32122212110010000
42101230222321
534234200344
63442343213
7642433221
oct221545271
978773100
1038193849
111a617671
121095ab09
137bb3715
145103081
153546a69
hex246cab9

38193849 has 20 divisors (see below), whose sum is σ = 60413364. Its totient is φ = 23963904.

The previous prime is 38193839. The next prime is 38193851. The reversal of 38193849 is 94839183.

38193849 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 2 ways, for example, as 31843449 + 6350400 = 5643^2 + 2520^2 .

It is not a de Polignac number, because 38193849 - 25 = 38193817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38193839) 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 19 ways as a sum of consecutive naturals, for example, 12492 + ... + 15245.

Almost surely, 238193849 is an apocalyptic number.

It is an amenable number.

38193849 is a deficient number, since it is larger than the sum of its proper divisors (22219515).

38193849 is a wasteful number, since it uses less digits than its factorization.

38193849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27766 (or 27757 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 38193849 is about 6180.1172318978. The cubic root of 38193849 is about 336.7682516484.

Subtracting from 38193849 its product of digits (186624), we obtain a square (38007225 = 61652).

The spelling of 38193849 in words is "thirty-eight million, one hundred ninety-three thousand, eight hundred forty-nine".

Divisors: 1 3 9 17 27 51 81 153 459 1377 27737 83211 249633 471529 748899 1414587 2246697 4243761 12731283 38193849