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42777 = 327297
BaseRepresentation
bin1010011100011001
32011200100
422130121
52332102
6530013
7235500
oct123431
964610
1042777
112a159
1220909
1316617
1411837
15ca1c
hexa719

42777 has 18 divisors (see below), whose sum is σ = 72618. Its totient is φ = 24192.

The previous prime is 42773. The next prime is 42787. The reversal of 42777 is 77724.

It is a happy number.

42777 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 only one way, i.e., 35721 + 7056 = 189^2 + 84^2 .

It is not a de Polignac number, because 42777 - 22 = 42773 is a prime.

42777 is a modest number, since divided by 777 gives 42 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 42777.

It is not an unprimeable number, because it can be changed into a prime (42773) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 393 + ... + 489.

242777 is an apocalyptic number.

It is an amenable number.

42777 is a deficient number, since it is larger than the sum of its proper divisors (29841).

42777 is a wasteful number, since it uses less digits than its factorization.

42777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its digits is 2744, while the sum is 27.

The square root of 42777 is about 206.8260138377. The cubic root of 42777 is about 34.9733129900.

The spelling of 42777 in words is "forty-two thousand, seven hundred seventy-seven", and thus it is an iban number.

Divisors: 1 3 7 9 21 49 63 97 147 291 441 679 873 2037 4753 6111 14259 42777