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405252373 is a prime number
BaseRepresentation
bin11000001001111…
…010100100010101
31001020112221202011
4120021322210111
51312221033443
6104113544221
713020405541
oct3011724425
91036487664
10405252373
11198833119
12b3875071
1365c60206
143bb70a21
152589eb9d
hex1827a915

405252373 has 2 divisors, whose sum is σ = 405252374. Its totient is φ = 405252372.

The previous prime is 405252359. The next prime is 405252389. The reversal of 405252373 is 373252504.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 374538609 + 30713764 = 19353^2 + 5542^2 .

It is a cyclic number.

It is not a de Polignac number, because 405252373 - 225 = 371697941 is a prime.

It is a super-2 number, since 2×4052523732 = 328458971644262258, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (405252313) 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, 202626186 + 202626187.

It is an arithmetic number, because the mean of its divisors is an integer number (202626187).

Almost surely, 2405252373 is an apocalyptic number.

It is an amenable number.

405252373 is a deficient number, since it is larger than the sum of its proper divisors (1).

405252373 is an equidigital number, since it uses as much as digits as its factorization.

405252373 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 31.

The square root of 405252373 is about 20130.8810785817. The cubic root of 405252373 is about 740.0172707194.

The spelling of 405252373 in words is "four hundred five million, two hundred fifty-two thousand, three hundred seventy-three".