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19386409 = 72172372
BaseRepresentation
bin100100111110…
…1000000101001
31100110221011011
41021331000221
514430331114
61531303521
7323532100
oct111750051
940427134
1019386409
11aa41329
1265aaba1
13402a063
142809037
151a7e1c4
hex127d029

19386409 has 27 divisors (see below), whose sum is σ = 24621093. Its totient is φ = 15216768.

The previous prime is 19386379. The next prime is 19386449. The reversal of 19386409 is 90468391.

The square root of 19386409 is 4403.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9018009 + 10368400 = 3003^2 + 3220^2 .

It is not a de Polignac number, because 19386409 - 29 = 19385897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (19386449) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 523939 + ... + 523975.

Almost surely, 219386409 is an apocalyptic number.

19386409 is the 4403-rd square number.

19386409 is the 2202-nd centered octagonal number.

It is an amenable number.

19386409 is a deficient number, since it is larger than the sum of its proper divisors (5234684).

19386409 is an equidigital number, since it uses as much as digits as its factorization.

19386409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The cubic root of 19386409 is about 268.6369761625.

Multiplying 19386409 by its product of nonzero digits (46656), we get a square (904492298304 = 9510482).

The spelling of 19386409 in words is "nineteen million, three hundred eighty-six thousand, four hundred nine".

Divisors: 1 7 17 37 49 119 259 289 629 833 1369 1813 2023 4403 9583 10693 14161 23273 30821 67081 74851 162911 395641 523957 1140377 2769487 19386409