Search a number
-
+
47785993 is a prime number
BaseRepresentation
bin1011011001001…
…0100000001001
310022220210001121
42312102200021
544213122433
64424115241
71120113523
oct266224011
9108823047
1047785993
1124a79362
1214005b21
139b91748
1464bca13
1542ddc2d
hex2d92809

47785993 has 2 divisors, whose sum is σ = 47785994. Its totient is φ = 47785992.

The previous prime is 47785961. The next prime is 47785999. The reversal of 47785993 is 39958774.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29019769 + 18766224 = 5387^2 + 4332^2 .

It is a cyclic number.

It is not a de Polignac number, because 47785993 - 25 = 47785961 is a prime.

It is a super-2 number, since 2×477859932 = 4567002253992098, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 47785993.

It is not a weakly prime, because it can be changed into another prime (47785999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23892996 + 23892997.

It is an arithmetic number, because the mean of its divisors is an integer number (23892997).

Almost surely, 247785993 is an apocalyptic number.

It is an amenable number.

47785993 is a deficient number, since it is larger than the sum of its proper divisors (1).

47785993 is an equidigital number, since it uses as much as digits as its factorization.

47785993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1905120, while the sum is 52.

The square root of 47785993 is about 6912.7413520253. The cubic root of 47785993 is about 362.8832076010.

The spelling of 47785993 in words is "forty-seven million, seven hundred eighty-five thousand, nine hundred ninety-three".