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48806200 = 2352793089
BaseRepresentation
bin1011101000101…
…1100100111000
310101211121112001
42322023210320
544443244300
64502030344
71131563062
oct272134470
9111747461
1048806200
1125605903
12144183b4
13a15ac11
1466a6732
15444116a
hex2e8b938

48806200 has 48 divisors (see below), whose sum is σ = 114948000. Its totient is φ = 19269120.

The previous prime is 48806189. The next prime is 48806203. The reversal of 48806200 is 260884.

48806200 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 (48806203) 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 11 ways as a sum of consecutive naturals, for example, 14256 + ... + 17344.

It is an arithmetic number, because the mean of its divisors is an integer number (2394750).

Almost surely, 248806200 is an apocalyptic number.

48806200 is a gapful number since it is divisible by the number (40) 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 48806200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57474000).

48806200 is an abundant number, since it is smaller than the sum of its proper divisors (66141800).

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

48806200 is a wasteful number, since it uses less digits than its factorization.

48806200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 3175 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 48806200 is about 6986.1434282442. The cubic root of 48806200 is about 365.4475026639.

The spelling of 48806200 in words is "forty-eight million, eight hundred six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 158 200 316 395 632 790 1580 1975 3089 3160 3950 6178 7900 12356 15445 15800 24712 30890 61780 77225 123560 154450 244031 308900 488062 617800 976124 1220155 1952248 2440310 4880620 6100775 9761240 12201550 24403100 48806200