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405073049 is a prime number
BaseRepresentation
bin11000001001001…
…110110010011001
31001020012211202112
4120021032302121
51312144314144
6104110042105
713016030663
oct3011166231
91036184675
10405073049
11198720417
12b37a9335
1365bc96c4
143bb25533
152586699e
hex1824ec99

405073049 has 2 divisors, whose sum is σ = 405073050. Its totient is φ = 405073048.

The previous prime is 405073037. The next prime is 405073051. The reversal of 405073049 is 940370504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 389351824 + 15721225 = 19732^2 + 3965^2 .

It is a cyclic number.

It is not a de Polignac number, because 405073049 - 220 = 404024473 is a prime.

Together with 405073051, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (405073349) 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, 202536524 + 202536525.

It is an arithmetic number, because the mean of its divisors is an integer number (202536525).

Almost surely, 2405073049 is an apocalyptic number.

It is an amenable number.

405073049 is a deficient number, since it is larger than the sum of its proper divisors (1).

405073049 is an equidigital number, since it uses as much as digits as its factorization.

405073049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 405073049 is about 20126.4266326638. The cubic root of 405073049 is about 739.9081021746.

The spelling of 405073049 in words is "four hundred five million, seventy-three thousand, forty-nine".