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5859 = 33731
BaseRepresentation
bin1011011100011
322001000
41123203
5141414
643043
723040
oct13343
98030
105859
114447
123483
132889
1421c7
151b09
hex16e3

5859 has 16 divisors (see below), whose sum is σ = 10240. Its totient is φ = 3240.

The previous prime is 5857. The next prime is 5861. The reversal of 5859 is 9585.

5859 = 63 + 73 + ... + 123.

It is an interprime number because it is at equal distance from previous prime (5857) and next prime (5861).

It is not a de Polignac number, because 5859 - 21 = 5857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

5859 is an undulating number in base 5.

It is a plaindrome in base 11 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174 + ... + 204.

It is an arithmetic number, because the mean of its divisors is an integer number (640).

25859 is an apocalyptic number.

5859 is a deficient number, since it is larger than the sum of its proper divisors (4381).

5859 is a wasteful number, since it uses less digits than its factorization.

5859 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 41 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 5859 is about 76.5441049330. The cubic root of 5859 is about 18.0277350208.

Adding to 5859 its sum of digits (27), we get a triangular number (5886 = T108).

Subtracting from 5859 its sum of digits (27), we obtain a cube (5832 = 183).

The spelling of 5859 in words is "five thousand, eight hundred fifty-nine".

Divisors: 1 3 7 9 21 27 31 63 93 189 217 279 651 837 1953 5859