Search a number
-
+
2979857401 is a prime number
BaseRepresentation
bin1011000110011101…
…0000001111111001
321200200010102212221
42301213100033321
522100320414101
61211404404041
7133562240623
oct26147201771
97620112787
102979857401
11129a062a74
126b1b46621
13386481241
14203a81c13
15126915aa1
hexb19d03f9

2979857401 has 2 divisors, whose sum is σ = 2979857402. Its totient is φ = 2979857400.

The previous prime is 2979857399. The next prime is 2979857471. The reversal of 2979857401 is 1047589792.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2885301225 + 94556176 = 53715^2 + 9724^2 .

It is a cyclic number.

It is not a de Polignac number, because 2979857401 - 21 = 2979857399 is a prime.

Together with 2979857399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2979857471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1489928700 + 1489928701.

It is an arithmetic number, because the mean of its divisors is an integer number (1489928701).

Almost surely, 22979857401 is an apocalyptic number.

It is an amenable number.

2979857401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2979857401 is an equidigital number, since it uses as much as digits as its factorization.

2979857401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1270080, while the sum is 52.

The square root of 2979857401 is about 54588.0701344167. The cubic root of 2979857401 is about 1439.0144685670.

The spelling of 2979857401 in words is "two billion, nine hundred seventy-nine million, eight hundred fifty-seven thousand, four hundred one".