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408268161 = 3372160149
BaseRepresentation
bin11000010101011…
…010110110000001
31001110020011122000
4120111122312001
51314004040121
6104302334213
713055136120
oct3025326601
91043204560
10408268161
1119a502a04
12b488a369
1366777ac2
143c317ab7
1525c98526
hex1855ad81

408268161 has 16 divisors (see below), whose sum is σ = 691248000. Its totient is φ = 233295984.

The previous prime is 408268127. The next prime is 408268183. The reversal of 408268161 is 161862804.

It is not a de Polignac number, because 408268161 - 210 = 408267137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (408268261) 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 in 15 ways as a sum of consecutive naturals, for example, 1079886 + ... + 1080263.

It is an arithmetic number, because the mean of its divisors is an integer number (43203000).

Almost surely, 2408268161 is an apocalyptic number.

It is an amenable number.

408268161 is a deficient number, since it is larger than the sum of its proper divisors (282979839).

408268161 is a wasteful number, since it uses less digits than its factorization.

408268161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160165 (or 2160159 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 408268161 is about 20205.6467602500. The cubic root of 408268161 is about 741.8484111153.

The spelling of 408268161 in words is "four hundred eight million, two hundred sixty-eight thousand, one hundred sixty-one".

Divisors: 1 3 7 9 21 27 63 189 2160149 6480447 15121043 19441341 45363129 58324023 136089387 408268161