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52808600 = 235213191069
BaseRepresentation
bin1100100101110…
…0101110011000
310200100221210002
43021130232120
5102004333400
65123512132
71210602635
oct311345630
9120327702
1052808600
1127899979
1215828648
13ac2c8c0
14702918c
154981ed5
hex325cb98

52808600 has 96 divisors (see below), whose sum is σ = 139314000. Its totient is φ = 18455040.

The previous prime is 52808563. The next prime is 52808603. The reversal of 52808600 is 680825.

It is a happy number.

52808600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52808603) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 48866 + ... + 49934.

Almost surely, 252808600 is an apocalyptic number.

52808600 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 52808600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69657000).

52808600 is an abundant number, since it is smaller than the sum of its proper divisors (86505400).

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

52808600 is a wasteful number, since it uses less digits than its factorization.

52808600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 52808600 is about 7266.9525937631. The cubic root of 52808600 is about 375.1758582582.

The spelling of 52808600 in words is "fifty-two million, eight hundred eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 19 20 25 26 38 40 50 52 65 76 95 100 104 130 152 190 200 247 260 325 380 475 494 520 650 760 950 988 1069 1235 1300 1900 1976 2138 2470 2600 3800 4276 4940 5345 6175 8552 9880 10690 12350 13897 20311 21380 24700 26725 27794 40622 42760 49400 53450 55588 69485 81244 101555 106900 111176 138970 162488 203110 213800 264043 277940 347425 406220 507775 528086 555880 694850 812440 1015550 1056172 1320215 1389700 2031100 2112344 2640430 2779400 4062200 5280860 6601075 10561720 13202150 26404300 52808600