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406199906 = 27216212557
BaseRepresentation
bin11000001101100…
…001111001100010
31001022100002111222
4120031201321202
51312441344111
6104150135042
713031433200
oct3015417142
91038302458
10406199906
11199320002
12b4051482
1366202598
143bd3a070
15259da7db
hex18361e62

406199906 has 24 divisors (see below), whose sum is σ = 709491996. Its totient is φ = 173910240.

The previous prime is 406199903. The next prime is 406199933. The reversal of 406199906 is 609991604.

It can be written as a sum of positive squares in 2 ways, for example, as 401641681 + 4558225 = 20041^2 + 2135^2 .

It is not an unprimeable number, because it can be changed into a prime (406199903) 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 11 ways as a sum of consecutive naturals, for example, 157580 + ... + 160136.

Almost surely, 2406199906 is an apocalyptic number.

406199906 is a deficient number, since it is larger than the sum of its proper divisors (303292090).

406199906 is a wasteful number, since it uses less digits than its factorization.

406199906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 44.

The square root of 406199906 is about 20154.4016532369. The cubic root of 406199906 is about 740.5935741525.

The spelling of 406199906 in words is "four hundred six million, one hundred ninety-nine thousand, nine hundred six".

Divisors: 1 2 7 14 49 98 1621 2557 3242 5114 11347 17899 22694 35798 79429 125293 158858 250586 4144897 8289794 29014279 58028558 203099953 406199906