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5958 = 232331
BaseRepresentation
bin1011101000110
322011200
41131012
5142313
643330
723241
oct13506
98150
105958
114527
123546
132934
142258
151b73
hex1746

5958 has 12 divisors (see below), whose sum is σ = 12948. Its totient is φ = 1980.

The previous prime is 5953. The next prime is 5981. The reversal of 5958 is 8595.

It is a plaindrome in base 14.

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 148 + ... + 183.

It is an arithmetic number, because the mean of its divisors is an integer number (1079).

25958 is an apocalyptic number.

5958 is an abundant number, since it is smaller than the sum of its proper divisors (6990).

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

5958 is a wasteful number, since it uses less digits than its factorization.

5958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 336 counting only the distinct ones).

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

The square root of 5958 is about 77.1880819816. The cubic root of 5958 is about 18.1287071292.

The spelling of 5958 in words is "five thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 18 331 662 993 1986 2979 5958