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40513829 is a prime number
BaseRepresentation
bin1001101010001…
…1000100100101
32211020022112012
42122203010211
540332420304
64004204005
71001235056
oct232430445
984208465
1040513829
1120961704
1211699605
1385166a5
14554872d
15385416e
hex26a3125

40513829 has 2 divisors, whose sum is σ = 40513830. Its totient is φ = 40513828.

The previous prime is 40513801. The next prime is 40513843. The reversal of 40513829 is 92831504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32092225 + 8421604 = 5665^2 + 2902^2 .

It is a cyclic number.

It is not a de Polignac number, because 40513829 - 28 = 40513573 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 40513795 and 40513804.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40513849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20256914 + 20256915.

It is an arithmetic number, because the mean of its divisors is an integer number (20256915).

Almost surely, 240513829 is an apocalyptic number.

It is an amenable number.

40513829 is a deficient number, since it is larger than the sum of its proper divisors (1).

40513829 is an equidigital number, since it uses as much as digits as its factorization.

40513829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 40513829 is about 6365.0474467988. The cubic root of 40513829 is about 343.4533553631.

The spelling of 40513829 in words is "forty million, five hundred thirteen thousand, eight hundred twenty-nine".