Search a number
-
+
949105957 is a prime number
BaseRepresentation
bin111000100100100…
…011010100100101
32110010220120121111
4320210203110211
53420432342312
6234102345021
732343160522
oct7044432445
92403816544
10949105957
11447822398
12225a2b171
1312182ab77
14900a0149
15584cb8a7
hex38923525

949105957 has 2 divisors, whose sum is σ = 949105958. Its totient is φ = 949105956.

The previous prime is 949105901. The next prime is 949105961. The reversal of 949105957 is 759501949.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 945624001 + 3481956 = 30751^2 + 1866^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-949105957 is a prime.

It is a super-2 number, since 2×9491059572 = 1801604235225771698, 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 949105957.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (949105967) 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, 474552978 + 474552979.

It is an arithmetic number, because the mean of its divisors is an integer number (474552979).

Almost surely, 2949105957 is an apocalyptic number.

It is an amenable number.

949105957 is a deficient number, since it is larger than the sum of its proper divisors (1).

949105957 is an equidigital number, since it uses as much as digits as its factorization.

949105957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 510300, while the sum is 49.

The square root of 949105957 is about 30807.5633083826. The cubic root of 949105957 is about 982.7390943683.

The spelling of 949105957 in words is "nine hundred forty-nine million, one hundred five thousand, nine hundred fifty-seven".