Search a number
-
+
47629193 is a prime number
BaseRepresentation
bin1011010110110…
…0001110001001
310022121210222012
42311230032021
544143113233
64420505305
71115561423
oct265541611
9108553865
1047629193
1124981577
1213b4b235
139b38271
14647b813
1542ac548
hex2d6c389

47629193 has 2 divisors, whose sum is σ = 47629194. Its totient is φ = 47629192.

The previous prime is 47629187. The next prime is 47629199. The reversal of 47629193 is 39192674.

47629193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (47629187) and next prime (47629199).

It can be written as a sum of positive squares in only one way, i.e., 36626704 + 11002489 = 6052^2 + 3317^2 .

It is a cyclic number.

It is not a de Polignac number, because 47629193 - 26 = 47629129 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 47629193.

It is not a weakly prime, because it can be changed into another prime (47629199) 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, 23814596 + 23814597.

It is an arithmetic number, because the mean of its divisors is an integer number (23814597).

Almost surely, 247629193 is an apocalyptic number.

It is an amenable number.

47629193 is a deficient number, since it is larger than the sum of its proper divisors (1).

47629193 is an equidigital number, since it uses as much as digits as its factorization.

47629193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 81648, while the sum is 41.

The square root of 47629193 is about 6901.3906569618. The cubic root of 47629193 is about 362.4858635787.

The spelling of 47629193 in words is "forty-seven million, six hundred twenty-nine thousand, one hundred ninety-three".