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406576241 is a prime number
BaseRepresentation
bin11000001110111…
…101110001110001
31001100001012202022
4120032331301301
51313040414431
6104202201225
713034561321
oct3016756161
91040035668
10406576241
11199557825
12b41b3215
1366304976
143bdd7281
1525a6207b
hex183bdc71

406576241 has 2 divisors, whose sum is σ = 406576242. Its totient is φ = 406576240.

The previous prime is 406576229. The next prime is 406576249. The reversal of 406576241 is 142675604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 381616225 + 24960016 = 19535^2 + 4996^2 .

It is a cyclic number.

It is not a de Polignac number, because 406576241 - 210 = 406575217 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (406576249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203288120 + 203288121.

It is an arithmetic number, because the mean of its divisors is an integer number (203288121).

Almost surely, 2406576241 is an apocalyptic number.

It is an amenable number.

406576241 is a deficient number, since it is larger than the sum of its proper divisors (1).

406576241 is an equidigital number, since it uses as much as digits as its factorization.

406576241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 406576241 is about 20163.7357897786. The cubic root of 406576241 is about 740.8222179390.

The spelling of 406576241 in words is "four hundred six million, five hundred seventy-six thousand, two hundred forty-one".