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56066800 = 2452140167
BaseRepresentation
bin1101010111100…
…0001011110000
310220111111012011
43111320023300
5103323114200
65321412304
71250363026
oct325701360
9126444164
1056066800
11297148a9
121693a094
13b80092a
147636716
154dc75ba
hex35782f0

56066800 has 30 divisors (see below), whose sum is σ = 134701448. Its totient is φ = 22426560.

The previous prime is 56066789. The next prime is 56066807. The reversal of 56066800 is 866065.

56066800 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 (56066807) 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 5 ways as a sum of consecutive naturals, for example, 69684 + ... + 70483.

Almost surely, 256066800 is an apocalyptic number.

56066800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56066800 is an abundant number, since it is smaller than the sum of its proper divisors (78634648).

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

56066800 is a wasteful number, since it uses less digits than its factorization.

56066800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140185 (or 140174 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 56066800 is about 7487.7767060724. The cubic root of 56066800 is about 382.7382996823.

The spelling of 56066800 in words is "fifty-six million, sixty-six thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 140167 280334 560668 700835 1121336 1401670 2242672 2803340 3504175 5606680 7008350 11213360 14016700 28033400 56066800