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40772269 is a prime number
BaseRepresentation
bin1001101110001…
…0001010101101
32211201110001001
42123202022231
540414203034
64013520301
71003362406
oct233421255
984643031
1040772269
112101889a
12117a3091
1385a7205
1455b49ad
1538a5a14
hex26e22ad

40772269 has 2 divisors, whose sum is σ = 40772270. Its totient is φ = 40772268.

The previous prime is 40772267. The next prime is 40772287. The reversal of 40772269 is 96227704.

It is a happy number.

40772269 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., 25857225 + 14915044 = 5085^2 + 3862^2 .

It is a cyclic number.

It is not a de Polignac number, because 40772269 - 21 = 40772267 is a prime.

It is a super-3 number, since 3×407722693 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 40772267, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40772267) 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, 20386134 + 20386135.

It is an arithmetic number, because the mean of its divisors is an integer number (20386135).

Almost surely, 240772269 is an apocalyptic number.

It is an amenable number.

40772269 is a deficient number, since it is larger than the sum of its proper divisors (1).

40772269 is an equidigital number, since it uses as much as digits as its factorization.

40772269 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 40772269 is about 6385.3166718652. The cubic root of 40772269 is about 344.1821107366.

It can be divided in two parts, 40772 and 269, that added together give a triangular number (41041 = T286).

The spelling of 40772269 in words is "forty million, seven hundred seventy-two thousand, two hundred sixty-nine".