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57798 = 23213219
BaseRepresentation
bin1110000111000110
32221021200
432013012
53322143
61123330
7330336
oct160706
987250
1057798
113a474
1229546
1320400
14170c6
15121d3
hexe1c6

57798 has 36 divisors (see below), whose sum is σ = 142740. Its totient is φ = 16848.

The previous prime is 57793. The next prime is 57803. The reversal of 57798 is 89775.

57798 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57793) and next prime (57803).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57791) 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, 3033 + ... + 3051.

It is an arithmetic number, because the mean of its divisors is an integer number (3965).

257798 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71370).

57798 is an abundant number, since it is smaller than the sum of its proper divisors (84942).

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

57798 is a wasteful number, since it uses less digits than its factorization.

57798 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 37 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 57798 is about 240.4121461158. The cubic root of 57798 is about 38.6637763727.

The spelling of 57798 in words is "fifty-seven thousand, seven hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 169 171 234 247 338 342 494 507 741 1014 1482 1521 2223 3042 3211 4446 6422 9633 19266 28899 57798