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4409934208 = 27791094001
BaseRepresentation
bin1000001101101101…
…00100000110000000
3102101100001212110121
410012312210012000
533012420343313
62005332110024
7214165552021
oct40666440600
912340055417
104409934208
111963324929
12a30a65314
13553830934
142db982c48
151ac24c28d
hex106da4180

4409934208 has 64 divisors (see below), whose sum is σ = 8980488000. Its totient is φ = 2156544000.

The previous prime is 4409934203. The next prime is 4409934299. The reversal of 4409934208 is 8024399044.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4409934203) 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 7 ways as a sum of consecutive naturals, for example, 1100208 + ... + 1104208.

It is an arithmetic number, because the mean of its divisors is an integer number (140320125).

Almost surely, 24409934208 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 4409934208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4490244000).

4409934208 is an abundant number, since it is smaller than the sum of its proper divisors (4570553792).

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

4409934208 is a wasteful number, since it uses less digits than its factorization.

4409934208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4203 (or 4191 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The square root of 4409934208 is about 66407.3354984222. The cubic root of 4409934208 is about 1639.8748427193.

The spelling of 4409934208 in words is "four billion, four hundred nine million, nine hundred thirty-four thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 64 79 109 128 158 218 316 436 632 872 1264 1744 2528 3488 4001 5056 6976 8002 8611 10112 13952 16004 17222 32008 34444 64016 68888 128032 137776 256064 275552 316079 436109 512128 551104 632158 872218 1102208 1264316 1744436 2528632 3488872 5057264 6977744 10114528 13955488 20229056 27910976 34452611 40458112 55821952 68905222 137810444 275620888 551241776 1102483552 2204967104 4409934208