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56818000 = 245328409
BaseRepresentation
bin1101100010111…
…1100101010000
310221220122122101
43120233211100
5104021134000
65345450144
71256642101
oct330574520
9127818571
1056818000
112a088228
1217040954
13ba04825
1477903a8
154ec4e6a
hex362f950

56818000 has 40 divisors (see below), whose sum is σ = 137390760. Its totient is φ = 22726400.

The previous prime is 56817997. The next prime is 56818031. The reversal of 56818000 is 81865.

It is a happy number.

56818000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1106704 + 55711296 = 1052^2 + 7464^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 56818000.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12205 + ... + 16204.

It is an arithmetic number, because the mean of its divisors is an integer number (3434769).

Almost surely, 256818000 is an apocalyptic number.

56818000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56818000 is an abundant number, since it is smaller than the sum of its proper divisors (80572760).

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

56818000 is a wasteful number, since it uses less digits than its factorization.

56818000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28432 (or 28416 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 56818000 is about 7537.7715539807. The cubic root of 56818000 is about 384.4400698440.

Adding to 56818000 its reverse (81865), we get a palindrome (56899865).

The spelling of 56818000 in words is "fifty-six million, eight hundred eighteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 28409 56818 113636 142045 227272 284090 454544 568180 710225 1136360 1420450 2272720 2840900 3551125 5681800 7102250 11363600 14204500 28409000 56818000