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2082758112 = 253219380621
BaseRepresentation
bin111110000100100…
…0101110111100000
312101011002002000100
41330021011313200
513231141224422
6542400422400
7102420103041
oct17411056740
95334062010
102082758112
11979731aa6
124a1617a00
13272661c66
1415a87c8c8
15c2cad7ac
hex7c245de0

2082758112 has 72 divisors (see below), whose sum is σ = 6234588360. Its totient is φ = 657711360.

The previous prime is 2082758081. The next prime is 2082758113. The reversal of 2082758112 is 2118572802.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082758113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184839 + ... + 195782.

It is an arithmetic number, because the mean of its divisors is an integer number (86591505).

Almost surely, 22082758112 is an apocalyptic number.

It is an amenable number.

2082758112 is an abundant number, since it is smaller than the sum of its proper divisors (4151830248).

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

2082758112 is a wasteful number, since it uses less digits than its factorization.

2082758112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380656 (or 380645 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 2082758112 is about 45637.2447897548. The cubic root of 2082758112 is about 1277.0648304936.

The spelling of 2082758112 in words is "two billion, eighty-two million, seven hundred fifty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 380621 761242 1141863 1522484 2283726 3044968 3425589 4567452 6089936 6851178 7231799 9134904 12179872 13702356 14463598 18269808 21695397 27404712 28927196 36539616 43390794 54809424 57854392 65086191 86781588 109618848 115708784 130172382 173563176 231417568 260344764 347126352 520689528 694252704 1041379056 2082758112