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52808200 = 2352733617
BaseRepresentation
bin1100100101110…
…0101000001000
310200100221020021
43021130220020
5102004330300
65123510224
71210601524
oct311345010
9120327207
1052808200
1127899645
1215828374
13ac2c673
147028d84
154981d1a
hex325ca08

52808200 has 48 divisors (see below), whose sum is σ = 124495380. Its totient is φ = 20828160.

The previous prime is 52808183. The next prime is 52808209. The reversal of 52808200 is 280825.

It can be written as a sum of positive squares in 6 ways, for example, as 5225796 + 47582404 = 2286^2 + 6898^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (52808209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12792 + ... + 16408.

Almost surely, 252808200 is an apocalyptic number.

52808200 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 52808200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62247690).

52808200 is an abundant number, since it is smaller than the sum of its proper divisors (71687180).

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

52808200 is a wasteful number, since it uses less digits than its factorization.

52808200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3706 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 52808200 is about 7266.9250718581. The cubic root of 52808200 is about 375.1749109963.

The spelling of 52808200 in words is "fifty-two million, eight hundred eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1460 1825 2920 3617 3650 7234 7300 14468 14600 18085 28936 36170 72340 90425 144680 180850 264041 361700 528082 723400 1056164 1320205 2112328 2640410 5280820 6601025 10561640 13202050 26404100 52808200