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2830684050 = 2335211031901
BaseRepresentation
bin1010100010111000…
…1100111110010010
321022021102122112000
42220232030332102
521244123342200
61144515214430
7130101263115
oct25056147622
97267378460
102830684050
111222935907
1266bba7416
133615b169c
141cbd3057c
1511879b300
hexa8b8cf92

2830684050 has 96 divisors (see below), whose sum is σ = 7811285760. Its totient is φ = 753768000.

The previous prime is 2830684033. The next prime is 2830684061. The reversal of 2830684050 is 504860382.

2830684050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2830683996 and 2830684014.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1488100 + ... + 1490000.

It is an arithmetic number, because the mean of its divisors is an integer number (81367560).

Almost surely, 22830684050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2830684050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905642880).

2830684050 is an abundant number, since it is smaller than the sum of its proper divisors (4980601710).

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

2830684050 is a wasteful number, since it uses less digits than its factorization.

2830684050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3025 (or 3014 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2830684050 is about 53204.1732385722. The cubic root of 2830684050 is about 1414.5896165764.

The spelling of 2830684050 in words is "two billion, eight hundred thirty million, six hundred eighty-four thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1103 1350 1901 2206 3309 3802 5515 5703 6618 9505 9927 11030 11406 16545 17109 19010 19854 27575 28515 29781 33090 34218 47525 49635 51327 55150 57030 59562 82725 85545 95050 99270 102654 142575 148905 165450 171090 248175 256635 285150 297810 427725 496350 513270 744525 855450 1283175 1489050 2096803 2566350 4193606 6290409 10484015 12580818 18871227 20968030 31452045 37742454 52420075 56613681 62904090 94356135 104840150 113227362 157260225 188712270 283068405 314520450 471780675 566136810 943561350 1415342025 2830684050