Search a number
-
+
47006249 is a prime number
BaseRepresentation
bin1011001101010…
…0001000101001
310021110011110012
42303110020221
544013144444
64355301305
71110355313
oct263241051
9107404405
1047006249
1124596544
12138aa835
13997a864
1463587b3
1541d7b9e
hex2cd4229

47006249 has 2 divisors, whose sum is σ = 47006250. Its totient is φ = 47006248.

The previous prime is 47006237. The next prime is 47006257. The reversal of 47006249 is 94260074.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44462224 + 2544025 = 6668^2 + 1595^2 .

It is a cyclic number.

It is not a de Polignac number, because 47006249 - 28 = 47005993 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (47006269) 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, 23503124 + 23503125.

It is an arithmetic number, because the mean of its divisors is an integer number (23503125).

Almost surely, 247006249 is an apocalyptic number.

It is an amenable number.

47006249 is a deficient number, since it is larger than the sum of its proper divisors (1).

47006249 is an equidigital number, since it uses as much as digits as its factorization.

47006249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 47006249 is about 6856.1103404190. The cubic root of 47006249 is about 360.8986013151.

The spelling of 47006249 in words is "forty-seven million, six thousand, two hundred forty-nine".