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406199313 = 33131157263
BaseRepresentation
bin11000001101100…
…001110000010001
31001022100001201000
4120031201300101
51312441334223
6104150132213
713031431362
oct3015416021
91038301630
10406199313
1119931a613
12b4051069
1366202230
143bd39b69
15259da543
hex18361c11

406199313 has 16 divisors (see below), whose sum is σ = 648067840. Its totient is φ = 249968592.

The previous prime is 406199249. The next prime is 406199327. The reversal of 406199313 is 313991604.

406199313 is a `hidden beast` number, since 4 + 0 + 619 + 9 + 31 + 3 = 666.

It is not a de Polignac number, because 406199313 - 26 = 406199249 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (406199363) 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 in 15 ways as a sum of consecutive naturals, for example, 578281 + ... + 578982.

It is an arithmetic number, because the mean of its divisors is an integer number (40504240).

Almost surely, 2406199313 is an apocalyptic number.

It is an amenable number.

406199313 is a deficient number, since it is larger than the sum of its proper divisors (241868527).

406199313 is a wasteful number, since it uses less digits than its factorization.

406199313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157285 (or 1157279 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 406199313 is about 20154.3869418050. The cubic root of 406199313 is about 740.5932137616.

The spelling of 406199313 in words is "four hundred six million, one hundred ninety-nine thousand, three hundred thirteen".

Divisors: 1 3 9 13 27 39 117 351 1157263 3471789 10415367 15044419 31246101 45133257 135399771 406199313