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110055808 = 274167313
BaseRepresentation
bin1101000111101…
…01000110000000
321200002102012001
412203311012000
5211133241213
614530513344
72504313262
oct643650600
9250072161
10110055808
115713a615
1230a35854
1319a548a5
141088bb32
1599de1dd
hex68f5180

110055808 has 64 divisors (see below), whose sum is σ = 228679920. Its totient is φ = 52715520.

The previous prime is 110055793. The next prime is 110055821. The reversal of 110055808 is 808550011.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1100558082 = 24224561749065728, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 351460 + ... + 351772.

Almost surely, 2110055808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110055808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114339960).

110055808 is an abundant number, since it is smaller than the sum of its proper divisors (118624112).

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

110055808 is an equidigital number, since it uses as much as digits as its factorization.

110055808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 28.

The square root of 110055808 is about 10490.7486863426. The cubic root of 110055808 is about 479.2230021762.

The spelling of 110055808 in words is "one hundred ten million, fifty-five thousand, eight hundred eight".

Divisors: 1 2 4 8 16 32 41 64 67 82 128 134 164 268 313 328 536 626 656 1072 1252 1312 2144 2504 2624 2747 4288 5008 5248 5494 8576 10016 10988 12833 20032 20971 21976 25666 40064 41942 43952 51332 83884 87904 102664 167768 175808 205328 335536 351616 410656 671072 821312 859811 1342144 1642624 1719622 2684288 3439244 6878488 13756976 27513952 55027904 110055808