Search a number
-
+
47123561 is a prime number
BaseRepresentation
bin1011001111000…
…0110001101001
310021200010101002
42303300301221
544030423221
64402004345
71111354322
oct263606151
9107603332
1047123561
11246666a1
12139466b5
1399bc084
146389449
15420c80b
hex2cf0c69

47123561 has 2 divisors, whose sum is σ = 47123562. Its totient is φ = 47123560.

The previous prime is 47123543. The next prime is 47123567. The reversal of 47123561 is 16532174.

47123561 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., 43811161 + 3312400 = 6619^2 + 1820^2 .

It is a cyclic number.

It is not a de Polignac number, because 47123561 - 26 = 47123497 is a prime.

It is not a weakly prime, because it can be changed into another prime (47123567) 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, 23561780 + 23561781.

It is an arithmetic number, because the mean of its divisors is an integer number (23561781).

Almost surely, 247123561 is an apocalyptic number.

It is an amenable number.

47123561 is a deficient number, since it is larger than the sum of its proper divisors (1).

47123561 is an equidigital number, since it uses as much as digits as its factorization.

47123561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5040, while the sum is 29.

The square root of 47123561 is about 6864.6602974947. The cubic root of 47123561 is about 361.1985796234.

It can be divided in two parts, 4 and 7123561, that multiplied together give a square (28494244 = 53382).

The spelling of 47123561 in words is "forty-seven million, one hundred twenty-three thousand, five hundred sixty-one".