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104426208 = 2532734967
BaseRepresentation
bin1100011100101…
…10101011100000
321021111101211100
412032112223200
5203213114313
614210114400
72405415405
oct616265340
9237441740
10104426208
1153a44a57
122ab7ba00
1318833373
14dc242ac
15927b173
hex6396ae0

104426208 has 72 divisors (see below), whose sum is σ = 301090608. Its totient is φ = 34324992.

The previous prime is 104426191. The next prime is 104426209. The reversal of 104426208 is 802624401.

104426208 is a `hidden beast` number, since 10 + 442 + 6 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104426209) 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, 18541 + ... + 23507.

It is an arithmetic number, because the mean of its divisors is an integer number (4181814).

Almost surely, 2104426208 is an apocalyptic number.

104426208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104426208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150545304).

104426208 is an abundant number, since it is smaller than the sum of its proper divisors (196664400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104426208 is a wasteful number, since it uses less digits than its factorization.

104426208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5056 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 104426208 is about 10218.9142280381. The cubic root of 104426208 is about 470.9084707263.

The spelling of 104426208 in words is "one hundred four million, four hundred twenty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 584 657 876 1168 1314 1752 2336 2628 3504 4967 5256 7008 9934 10512 14901 19868 21024 29802 39736 44703 59604 79472 89406 119208 158944 178812 238416 357624 362591 476832 715248 725182 1087773 1430496 1450364 2175546 2900728 3263319 4351092 5801456 6526638 8702184 11602912 13053276 17404368 26106552 34808736 52213104 104426208