Search a number
-
+
556746401 is a prime number
BaseRepresentation
bin100001001011110…
…100011010100001
31102210121122111002
4201023310122201
52120011341101
6131125001345
716540160231
oct4113643241
91383548432
10556746401
112662a58a2
12136553255
138b463153
1453d27cc1
1533d26d6b
hex212f46a1

556746401 has 2 divisors, whose sum is σ = 556746402. Its totient is φ = 556746400.

The previous prime is 556746389. The next prime is 556746409. The reversal of 556746401 is 104647655.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 431642176 + 125104225 = 20776^2 + 11185^2 .

It is a cyclic number.

It is not a de Polignac number, because 556746401 - 214 = 556730017 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (556746409) 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, 278373200 + 278373201.

It is an arithmetic number, because the mean of its divisors is an integer number (278373201).

Almost surely, 2556746401 is an apocalyptic number.

It is an amenable number.

556746401 is a deficient number, since it is larger than the sum of its proper divisors (1).

556746401 is an equidigital number, since it uses as much as digits as its factorization.

556746401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 556746401 is about 23595.4741634916. The cubic root of 556746401 is about 822.6576477413.

The spelling of 556746401 in words is "five hundred fifty-six million, seven hundred forty-six thousand, four hundred one".