Search a number
-
+
42978401 is a prime number
BaseRepresentation
bin1010001111110…
…0110001100001
32222212112021122
42203330301201
542000302101
64133102025
71031211314
oct243746141
988775248
1042978401
1122295344
1212487915
138b9a40b
1459ca97b
153b8e51b
hex28fcc61

42978401 has 2 divisors, whose sum is σ = 42978402. Its totient is φ = 42978400.

The previous prime is 42978391. The next prime is 42978413. The reversal of 42978401 is 10487924.

42978401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42837025 + 141376 = 6545^2 + 376^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42978401 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (42978461) 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, 21489200 + 21489201.

It is an arithmetic number, because the mean of its divisors is an integer number (21489201).

Almost surely, 242978401 is an apocalyptic number.

It is an amenable number.

42978401 is a deficient number, since it is larger than the sum of its proper divisors (1).

42978401 is an equidigital number, since it uses as much as digits as its factorization.

42978401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 42978401 is about 6555.7914091283. The cubic root of 42978401 is about 350.2811373813.

The spelling of 42978401 in words is "forty-two million, nine hundred seventy-eight thousand, four hundred one".