Search a number
-
+
40448413 is a prime number
BaseRepresentation
bin1001101001001…
…1000110011101
32211002222210101
42122103012131
540323322123
64002541101
71000543255
oct232230635
984088711
1040448413
1120917545
1211667791
1384c2995
14552c965
15383eaad
hex269319d

40448413 has 2 divisors, whose sum is σ = 40448414. Its totient is φ = 40448412.

The previous prime is 40448377. The next prime is 40448431. The reversal of 40448413 is 31484404.

40448413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (40448431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33489369 + 6959044 = 5787^2 + 2638^2 .

It is a cyclic number.

It is not a de Polignac number, because 40448413 - 213 = 40440221 is a prime.

It is a super-2 number, since 2×404484132 = 3272148228437138, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40448713) 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, 20224206 + 20224207.

It is an arithmetic number, because the mean of its divisors is an integer number (20224207).

Almost surely, 240448413 is an apocalyptic number.

It is an amenable number.

40448413 is a deficient number, since it is larger than the sum of its proper divisors (1).

40448413 is an equidigital number, since it uses as much as digits as its factorization.

40448413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 40448413 is about 6359.9066817053. The cubic root of 40448413 is about 343.2684024843.

The spelling of 40448413 in words is "forty million, four hundred forty-eight thousand, four hundred thirteen".