Search a number
-
+
27417829 is a prime number
BaseRepresentation
bin110100010010…
…1110011100101
31220120222012011
41220211303211
524004332304
62415354221
7452022235
oct150456345
956528164
1027417829
111452746a
129222971
1358ac88a
1438d9cc5
152618c04
hex1a25ce5

27417829 has 2 divisors, whose sum is σ = 27417830. Its totient is φ = 27417828.

The previous prime is 27417827. The next prime is 27417833. The reversal of 27417829 is 92871472.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22137025 + 5280804 = 4705^2 + 2298^2 .

It is a cyclic number.

It is not a de Polignac number, because 27417829 - 21 = 27417827 is a prime.

Together with 27417827, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 27417791 and 27417800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27417827) 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 as a sum of consecutive naturals, namely, 13708914 + 13708915.

It is an arithmetic number, because the mean of its divisors is an integer number (13708915).

Almost surely, 227417829 is an apocalyptic number.

It is an amenable number.

27417829 is a deficient number, since it is larger than the sum of its proper divisors (1).

27417829 is an equidigital number, since it uses as much as digits as its factorization.

27417829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 56448, while the sum is 40.

The square root of 27417829 is about 5236.2036820582. The cubic root of 27417829 is about 301.5396000705.

The spelling of 27417829 in words is "twenty-seven million, four hundred seventeen thousand, eight hundred twenty-nine".