Search a number
-
+
50200200 = 2332521672
BaseRepresentation
bin1011111101111…
…1111010001000
310111110102201200
42333133322020
5100322401300
64551544200
71146460161
oct277377210
9114412650
1050200200
1126378176
121498b060
13a52857b
14694a768
154619200
hex2fdfe88

50200200 has 108 divisors (see below), whose sum is σ = 169604565. Its totient is φ = 13306560.

The previous prime is 50200187. The next prime is 50200211. The reversal of 50200200 is 200205.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 49196196 + 1004004 = 7014^2 + 1002^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5010.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 26 ways as a sum of consecutive naturals, for example, 300517 + ... + 300683.

Almost surely, 250200200 is an apocalyptic number.

50200200 is a gapful number since it is divisible by the number (50) 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 50200200

50200200 is an abundant number, since it is smaller than the sum of its proper divisors (119404365).

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

50200200 is a wasteful number, since it uses less digits than its factorization.

50200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 50200200 is about 7085.2099474892. The cubic root of 50200200 is about 368.8941904745.

Adding to 50200200 its reverse (200205), we get a palindrome (50400405).

The spelling of 50200200 in words is "fifty million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 167 180 200 225 300 334 360 450 501 600 668 835 900 1002 1336 1503 1670 1800 2004 2505 3006 3340 4008 4175 5010 6012 6680 7515 8350 10020 12024 12525 15030 16700 20040 25050 27889 30060 33400 37575 50100 55778 60120 75150 83667 100200 111556 139445 150300 167334 223112 251001 278890 300600 334668 418335 502002 557780 669336 697225 836670 1004004 1115560 1255005 1394450 1673340 2008008 2091675 2510010 2788900 3346680 4183350 5020020 5577800 6275025 8366700 10040040 12550050 16733400 25100100 50200200