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2085272208 = 243334913831
BaseRepresentation
bin111110001001010…
…1011101010010000
312101022210210201000
41330102223222100
513232312202313
6542530342000
7102450343545
oct17422535220
95338723630
102085272208
11980099968
124a242a900
132730323a6
1415ad34bcc
15c3108673
hex7c4aba90

2085272208 has 80 divisors (see below), whose sum is σ = 6003088000. Its totient is φ = 693048960.

The previous prime is 2085272197. The next prime is 2085272213. The reversal of 2085272208 is 8022725802.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 143853 + ... + 157683.

It is an arithmetic number, because the mean of its divisors is an integer number (75038600).

Almost surely, 22085272208 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 2085272208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001544000).

2085272208 is an abundant number, since it is smaller than the sum of its proper divisors (3917815792).

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

2085272208 is a wasteful number, since it uses less digits than its factorization.

2085272208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14197 (or 14185 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2085272208 is about 45664.7808272415. The cubic root of 2085272208 is about 1277.5784719267.

The spelling of 2085272208 in words is "two billion, eighty-five million, two hundred seventy-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 349 432 698 1047 1396 2094 2792 3141 4188 5584 6282 8376 9423 12564 13831 16752 18846 25128 27662 37692 41493 50256 55324 75384 82986 110648 124479 150768 165972 221296 248958 331944 373437 497916 663888 746874 995832 1493748 1991664 2987496 4827019 5974992 9654038 14481057 19308076 28962114 38616152 43443171 57924228 77232304 86886342 115848456 130329513 173772684 231696912 260659026 347545368 521318052 695090736 1042636104 2085272208