Search a number
-
+
47003137 is a prime number
BaseRepresentation
bin1011001101001…
…1011000000001
310021110000011221
42303103120001
544013100022
64355235041
71110343246
oct263233001
9107400157
1047003137
1124594175
12138a8a81
13997930c
1463575cd
1541d6cc7
hex2cd3601

47003137 has 2 divisors, whose sum is σ = 47003138. Its totient is φ = 47003136.

The previous prime is 47003111. The next prime is 47003153. The reversal of 47003137 is 73130074.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41357761 + 5645376 = 6431^2 + 2376^2 .

It is a cyclic number.

It is not a de Polignac number, because 47003137 - 219 = 46478849 is a prime.

It is not a weakly prime, because it can be changed into another prime (47003107) 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 as a sum of consecutive naturals, namely, 23501568 + 23501569.

It is an arithmetic number, because the mean of its divisors is an integer number (23501569).

Almost surely, 247003137 is an apocalyptic number.

It is an amenable number.

47003137 is a deficient number, since it is larger than the sum of its proper divisors (1).

47003137 is an equidigital number, since it uses as much as digits as its factorization.

47003137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 47003137 is about 6855.8833858227. The cubic root of 47003137 is about 360.8906368334.

The spelling of 47003137 in words is "forty-seven million, three thousand, one hundred thirty-seven".