Search a number
-
+
4483107680 = 255295991613
BaseRepresentation
bin1000010110011011…
…01100101101100000
3102120102202110121012
410023031230231200
533140133421210
62020504320052
7216044533532
oct41315545540
912512673535
104483107680
1119a0663177
12a51473028
13565a40a4c
1430758d852
151b38a3305
hex10b36cb60

4483107680 has 96 divisors (see below), whose sum is σ = 10981656000. Its totient is φ = 1727444992.

The previous prime is 4483107677. The next prime is 4483107697. The reversal of 4483107680 is 867013844.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2778554 + ... + 2780166.

It is an arithmetic number, because the mean of its divisors is an integer number (114392250).

Almost surely, 24483107680 is an apocalyptic number.

4483107680 is a gapful number since it is divisible by the number (40) 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 4483107680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5490828000).

4483107680 is an abundant number, since it is smaller than the sum of its proper divisors (6498548320).

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

4483107680 is a wasteful number, since it uses less digits than its factorization.

4483107680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 4483107680 is about 66956.0130234768. The cubic root of 4483107680 is about 1648.8952114586.

The spelling of 4483107680 in words is "four billion, four hundred eighty-three million, one hundred seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 599 928 1160 1198 1613 2320 2396 2995 3226 4640 4792 5990 6452 8065 9584 11980 12904 16130 17371 19168 23960 25808 32260 34742 46777 47920 51616 64520 69484 86855 93554 95840 129040 138968 173710 187108 233885 258080 277936 347420 374216 467770 555872 694840 748432 935540 966187 1389680 1496864 1871080 1932374 2779360 3742160 3864748 4830935 7484320 7729496 9661870 15458992 19323740 28019423 30917984 38647480 56038846 77294960 112077692 140097115 154589920 224155384 280194230 448310768 560388460 896621536 1120776920 2241553840 4483107680