Search a number
-
+
181627049 is a prime number
BaseRepresentation
bin10101101001101…
…10100010101001
3110122202121110202
422310312202221
5332444031144
630004521545
74333542632
oct1264664251
9418677422
10181627049
11935840aa
12509b02b5
132b823636
141a19c889
1510e2a64e
hexad368a9

181627049 has 2 divisors, whose sum is σ = 181627050. Its totient is φ = 181627048.

The previous prime is 181627037. The next prime is 181627051. The reversal of 181627049 is 940726181.

181627049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 175377049 + 6250000 = 13243^2 + 2500^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-181627049 is a prime.

Together with 181627051, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (181627079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90813524 + 90813525.

It is an arithmetic number, because the mean of its divisors is an integer number (90813525).

Almost surely, 2181627049 is an apocalyptic number.

It is an amenable number.

181627049 is a deficient number, since it is larger than the sum of its proper divisors (1).

181627049 is an equidigital number, since it uses as much as digits as its factorization.

181627049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 181627049 is about 13476.9079910787. The cubic root of 181627049 is about 566.3177522577.

The spelling of 181627049 in words is "one hundred eighty-one million, six hundred twenty-seven thousand, forty-nine".