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40356289 is a prime number
BaseRepresentation
bin1001100111110…
…0100111000001
32210221022102101
42121330213001
540312400124
64000550401
71000010551
oct231744701
983838371
1040356289
1120864306
1211622401
13848ca7c
145507161
153822644
hex267c9c1

40356289 has 2 divisors, whose sum is σ = 40356290. Its totient is φ = 40356288.

The previous prime is 40356263. The next prime is 40356301. The reversal of 40356289 is 98265304.

40356289 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., 34715664 + 5640625 = 5892^2 + 2375^2 .

It is a cyclic number.

It is not a de Polignac number, because 40356289 - 223 = 31967681 is a prime.

It is not a weakly prime, because it can be changed into another prime (40356089) 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, 20178144 + 20178145.

It is an arithmetic number, because the mean of its divisors is an integer number (20178145).

Almost surely, 240356289 is an apocalyptic number.

It is an amenable number.

40356289 is a deficient number, since it is larger than the sum of its proper divisors (1).

40356289 is an equidigital number, since it uses as much as digits as its factorization.

40356289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 40356289 is about 6352.6599940497. The cubic root of 40356289 is about 343.0075987063.

It can be divided in two parts, 403562 and 89, that added together give a triangular number (403651 = T898).

The spelling of 40356289 in words is "forty million, three hundred fifty-six thousand, two hundred eighty-nine".