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2085172908 = 2237134913889
BaseRepresentation
bin111110001001001…
…0011011010101100
312101022121202111020
41330102103122230
513232301013113
6542524254140
7102446451210
oct17422233254
95338552436
102085172908
119800312a5
124a23a1350
13272cc9130
1415ad0a940
15c30d9023
hex7c4936ac

2085172908 has 96 divisors (see below), whose sum is σ = 6001927680. Its totient is φ = 548674560.

The previous prime is 2085172889. The next prime is 2085172909. The reversal of 2085172908 is 8092715802.

2085172908 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2085172908.

It is not an unprimeable number, because it can be changed into a prime (2085172909) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 534228 + ... + 538116.

It is an arithmetic number, because the mean of its divisors is an integer number (62520080).

Almost surely, 22085172908 is an apocalyptic number.

2085172908 is a gapful number since it is divisible by the number (28) 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 2085172908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000963840).

2085172908 is an abundant number, since it is smaller than the sum of its proper divisors (3916754772).

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

2085172908 is a wasteful number, since it uses less digits than its factorization.

2085172908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4407 (or 4405 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 2085172908 is about 45663.6935431202. The cubic root of 2085172908 is about 1277.5581923112.

The spelling of 2085172908 in words is "two billion, eighty-five million, one hundred seventy-two thousand, nine hundred eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 491 546 982 1092 1473 1964 2946 3437 3889 5892 6383 6874 7778 10311 11667 12766 13748 15556 19149 20622 23334 25532 27223 38298 41244 44681 46668 50557 54446 76596 81669 89362 101114 108892 134043 151671 163338 178724 202228 268086 303342 326676 353899 536172 606684 707798 1061697 1415596 1909499 2123394 3818998 4246788 5728497 7637996 11456994 13366493 22913988 24823487 26732986 40099479 49646974 53465972 74470461 80198958 99293948 148940922 160397916 173764409 297881844 347528818 521293227 695057636 1042586454 2085172908