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416106415 = 5107777769
BaseRepresentation
bin11000110011010…
…100011110101111
31001222222101200201
4120303110132233
51323010401130
6105142334331
713211563144
oct3063243657
91058871621
10416106415
111a39769aa
12b742a3a7
136829071a
143d3983cb
15267e5bca
hex18cd47af

416106415 has 8 divisors (see below), whose sum is σ = 503994960. Its totient is φ = 329773632.

The previous prime is 416106377. The next prime is 416106421. The reversal of 416106415 is 514601614.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 416106415 - 27 = 416106287 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 388350 + ... + 389419.

It is an arithmetic number, because the mean of its divisors is an integer number (62999370).

Almost surely, 2416106415 is an apocalyptic number.

416106415 is a deficient number, since it is larger than the sum of its proper divisors (87888545).

416106415 is a wasteful number, since it uses less digits than its factorization.

416106415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777881.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 416106415 is about 20398.6865998770. The cubic root of 416106415 is about 746.5658790095.

The spelling of 416106415 in words is "four hundred sixteen million, one hundred six thousand, four hundred fifteen".

Divisors: 1 5 107 535 777769 3888845 83221283 416106415