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40506173 is a prime number
BaseRepresentation
bin1001101010000…
…1001100111101
32211012221000122
42122201030331
540332144143
64004104325
71001203541
oct232411475
984187018
1040506173
1120956984
12116950a5
138513066
145545a21
153851c68
hex26a133d

40506173 has 2 divisors, whose sum is σ = 40506174. Its totient is φ = 40506172.

The previous prime is 40506163. The next prime is 40506199. The reversal of 40506173 is 37160504.

40506173 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (40506199) can be obtained adding 40506173 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25775929 + 14730244 = 5077^2 + 3838^2 .

It is a cyclic number.

It is not a de Polignac number, because 40506173 - 220 = 39457597 is a prime.

It is a super-2 number, since 2×405061732 = 3281500102211858, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40506143) 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, 20253086 + 20253087.

It is an arithmetic number, because the mean of its divisors is an integer number (20253087).

Almost surely, 240506173 is an apocalyptic number.

It is an amenable number.

40506173 is a deficient number, since it is larger than the sum of its proper divisors (1).

40506173 is an equidigital number, since it uses as much as digits as its factorization.

40506173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 40506173 is about 6364.4460088840. The cubic root of 40506173 is about 343.4317195858.

Adding to 40506173 its reverse (37160504), we get a palindrome (77666677).

The spelling of 40506173 in words is "forty million, five hundred six thousand, one hundred seventy-three".