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104408385 = 3523472137
BaseRepresentation
bin1100011100100…
…10010101000001
321021110111101020
412032102111001
5203212032020
614205500053
72405312424
oct616222501
9237414336
10104408385
1153a32624
122ab71629
1318828213
14dc1b9bb
159275c40
hex6392541

104408385 has 48 divisors (see below), whose sum is σ = 179404416. Its totient is φ = 51749632.

The previous prime is 104408383. The next prime is 104408389. The reversal of 104408385 is 583804401.

104408385 = T173 + T174 + ... + T857.

It is not a de Polignac number, because 104408385 - 21 = 104408383 is a prime.

It is a super-2 number, since 2×1044083852 = 21802221716616450, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (104408383) 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 47 ways as a sum of consecutive naturals, for example, 762037 + ... + 762173.

It is an arithmetic number, because the mean of its divisors is an integer number (3737592).

Almost surely, 2104408385 is an apocalyptic number.

104408385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104408385 is a deficient number, since it is larger than the sum of its proper divisors (74996031).

104408385 is a wasteful number, since it uses less digits than its factorization.

104408385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 104408385 is about 10218.0421314457. The cubic root of 104408385 is about 470.8816783487.

The spelling of 104408385 in words is "one hundred four million, four hundred eight thousand, three hundred eighty-five".

Divisors: 1 3 5 15 23 47 69 115 137 141 235 345 411 685 705 1081 2055 2209 3151 3243 5405 6439 6627 9453 11045 15755 16215 19317 32195 33135 47265 50807 96585 148097 152421 254035 302633 444291 740485 762105 907899 1513165 2221455 4539495 6960559 20881677 34802795 104408385