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2805830500 = 2253111015051
BaseRepresentation
bin1010011100111101…
…1001001101100100
321020112122221212011
42213033121031210
521221243034000
61142230404004
7126350110564
oct24717311544
97215587764
102805830500
11120a8aaa90
12663800604
133593bc045
141c8900da4
151164dc2ba
hexa73d9364

2805830500 has 96 divisors (see below), whose sum is σ = 6752543616. Its totient is φ = 1010000000.

The previous prime is 2805830497. The next prime is 2805830543. The reversal of 2805830500 is 50385082.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 552975 + ... + 558025.

It is an arithmetic number, because the mean of its divisors is an integer number (70338996).

Almost surely, 22805830500 is an apocalyptic number.

2805830500 is a gapful number since it is divisible by the number (20) 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 2805830500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376271808).

2805830500 is an abundant number, since it is smaller than the sum of its proper divisors (3946713116).

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

2805830500 is a wasteful number, since it uses less digits than its factorization.

2805830500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5182 (or 5170 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 2805830500 is about 52970.0906172531. The cubic root of 2805830500 is about 1410.4373842188.

Subtracting from 2805830500 its product of nonzero digits (9600), we obtain a square (2805820900 = 529702).

The spelling of 2805830500 in words is "two billion, eight hundred five million, eight hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 125 202 220 250 275 404 500 505 550 1010 1100 1111 1375 2020 2222 2525 2750 4444 5050 5051 5500 5555 10100 10102 11110 12625 20204 22220 25250 25255 27775 50500 50510 55550 55561 101020 111100 111122 126275 138875 222244 252550 277750 277805 505100 510151 555500 555610 631375 1020302 1111220 1262750 1389025 2040604 2525500 2550755 2778050 5101510 5556100 5611661 6945125 10203020 11223322 12753775 13890250 22446644 25507550 27780500 28058305 51015100 56116610 63768875 112233220 127537750 140291525 255075500 280583050 561166100 701457625 1402915250 2805830500