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2085915208 = 2313431513089
BaseRepresentation
bin111110001010100…
…1000101001001000
312101101000110201211
41330111020221020
513232443241313
6542552222504
7102455662306
oct17425105110
95341013654
102085915208
11980498a73
124a269aa34
132731c8c70
1415b061276
15c31d3e3d
hex7c548a48

2085915208 has 64 divisors (see below), whose sum is σ = 4339843200. Its totient is φ = 933811200.

The previous prime is 2085915203. The next prime is 2085915211. The reversal of 2085915208 is 8025195802.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2085915203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 673728 + ... + 676816.

It is an arithmetic number, because the mean of its divisors is an integer number (67810050).

Almost surely, 22085915208 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 2085915208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169921600).

2085915208 is an abundant number, since it is smaller than the sum of its proper divisors (2253927992).

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

2085915208 is a wasteful number, since it uses less digits than its factorization.

2085915208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 40.

The square root of 2085915208 is about 45671.8207213157. The cubic root of 2085915208 is about 1277.7097734954.

The spelling of 2085915208 in words is "two billion, eighty-five million, nine hundred fifteen thousand, two hundred eight".

Divisors: 1 2 4 8 13 26 43 52 86 104 151 172 302 344 559 604 1118 1208 1963 2236 3089 3926 4472 6178 6493 7852 12356 12986 15704 24712 25972 40157 51944 80314 84409 132827 160628 168818 265654 321256 337636 466439 531308 675272 932878 1062616 1726751 1865756 3453502 3731512 6063707 6907004 12127414 13814008 20056877 24254828 40113754 48509656 80227508 160455016 260739401 521478802 1042957604 2085915208