Search a number
-
+
42872261 is a prime number
BaseRepresentation
bin1010001110001…
…0110111000101
32222200010200112
42203202313011
541433403021
64130522405
71030260005
oct243426705
988603615
1042872261
1122222623
1212436405
138b61003
1459a0005
153b6cd5b
hex28e2dc5

42872261 has 2 divisors, whose sum is σ = 42872262. Its totient is φ = 42872260.

The previous prime is 42872251. The next prime is 42872267. The reversal of 42872261 is 16227824.

42872261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42640900 + 231361 = 6530^2 + 481^2 .

It is a cyclic number.

It is not a de Polignac number, because 42872261 - 222 = 38677957 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42872267) 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, 21436130 + 21436131.

It is an arithmetic number, because the mean of its divisors is an integer number (21436131).

Almost surely, 242872261 is an apocalyptic number.

It is an amenable number.

42872261 is a deficient number, since it is larger than the sum of its proper divisors (1).

42872261 is an equidigital number, since it uses as much as digits as its factorization.

42872261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10752, while the sum is 32.

The square root of 42872261 is about 6547.6912725021. The cubic root of 42872261 is about 349.9925467801.

The spelling of 42872261 in words is "forty-two million, eight hundred seventy-two thousand, two hundred sixty-one".