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20049800 = 2352175897
BaseRepresentation
bin100110001111…
…0111110001000
31101201122011012
41030132332020
520113043200
61553423052
7332264141
oct114367610
941648135
1020049800
1110354791
12686aa88
1341cccb4
14293cac8
151b60a35
hex131ef88

20049800 has 48 divisors (see below), whose sum is σ = 49366260. Its totient is φ = 7546880.

The previous prime is 20049797. The next prime is 20049829. The reversal of 20049800 is 894002.

It can be written as a sum of positive squares in 6 ways, for example, as 14915044 + 5134756 = 3862^2 + 2266^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 452 + ... + 6348.

Almost surely, 220049800 is an apocalyptic number.

20049800 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 20049800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24683130).

20049800 is an abundant number, since it is smaller than the sum of its proper divisors (29316460).

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

20049800 is a wasteful number, since it uses less digits than its factorization.

20049800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5930 (or 5921 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 20049800 is about 4477.7003026107. The cubic root of 20049800 is about 271.6668715837. Note that the first 3 decimals are identical.

The spelling of 20049800 in words is "twenty million, forty-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 5897 11794 23588 29485 47176 58970 100249 117940 147425 200498 235880 294850 400996 501245 589700 801992 1002490 1179400 2004980 2506225 4009960 5012450 10024900 20049800