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845530084 = 2272312672
BaseRepresentation
bin110010011001011…
…100001111100100
32011221000101020001
4302121130033210
53212423430314
6215522351044
726644613200
oct6231341744
92157011201
10845530084
113a43092a3
121b71bb484
13106234879
148041bb00
154e36c674
hex3265c3e4

845530084 has 81 divisors (see below), whose sum is σ = 1805515299. Its totient is φ = 345446640.

The previous prime is 845530079. The next prime is 845530093. The reversal of 845530084 is 480035548.

It is a happy number.

The square root of 845530084 is 29078.

It is a perfect power (a square), and thus also a powerful number.

845530084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×8455300844 (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12619819 + ... + 12619885.

Almost surely, 2845530084 is an apocalyptic number.

845530084 is the 29078-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 845530084

845530084 is an abundant number, since it is smaller than the sum of its proper divisors (959985215).

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

845530084 is a wasteful number, since it uses less digits than its factorization.

845530084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The cubic root of 845530084 is about 945.6048436994.

The spelling of 845530084 in words is "eight hundred forty-five million, five hundred thirty thousand, eighty-four".

Divisors: 1 2 4 7 14 28 31 49 62 67 98 124 134 196 217 268 434 469 868 938 961 1519 1876 1922 2077 3038 3283 3844 4154 4489 6076 6566 6727 8308 8978 13132 13454 14539 17956 26908 29078 31423 47089 58156 62846 64387 94178 101773 125692 128774 139159 188356 203546 219961 257548 278318 407092 439922 450709 556636 879844 901418 974113 1802836 1948226 3154963 3896452 4313929 6309926 6818791 8627858 12619852 13637582 17255716 27275164 30197503 60395006 120790012 211382521 422765042 845530084