Search a number
-
+
42736349 is a prime number
BaseRepresentation
bin1010001100000…
…1101011011101
32222102020020202
42203001223131
541420030344
64123553245
71026152525
oct243015335
988366222
1042736349
112213a4a7
121238b825
138b141a6
145966685
153b4294e
hex28c1add

42736349 has 2 divisors, whose sum is σ = 42736350. Its totient is φ = 42736348.

The previous prime is 42736333. The next prime is 42736373. The reversal of 42736349 is 94363724.

42736349 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., 34727449 + 8008900 = 5893^2 + 2830^2 .

It is a cyclic number.

It is not a de Polignac number, because 42736349 - 24 = 42736333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42736319) 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, 21368174 + 21368175.

It is an arithmetic number, because the mean of its divisors is an integer number (21368175).

Almost surely, 242736349 is an apocalyptic number.

It is an amenable number.

42736349 is a deficient number, since it is larger than the sum of its proper divisors (1).

42736349 is an equidigital number, since it uses as much as digits as its factorization.

42736349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108864, while the sum is 38.

The square root of 42736349 is about 6537.3044139003. The cubic root of 42736349 is about 349.6223109453.

The spelling of 42736349 in words is "forty-two million, seven hundred thirty-six thousand, three hundred forty-nine".