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588 = 22372
BaseRepresentation
bin1001001100
3210210
421030
54323
62420
71500
oct1114
9723
10588
11495
12410
13363
14300
15293
hex24c

588 has 18 divisors (see below), whose sum is σ = 1596. Its totient is φ = 168.

The previous prime is 587. The next prime is 593. The reversal of 588 is 885.

588 divided by its sum of digits (21) gives a triangular number (28 = T7).

It can be divided in two parts, 58 and 8, that multiplied together give a palindrome (464).

588 is nontrivially palindromic in base 13.

588 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

588 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

588 is an undulating number in base 13.

It is a plaindrome in base 8, base 10 and base 16.

It is a nialpdrome in base 12 and base 14.

It is not an unprimeable number, because it can be changed into a prime (587) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 81 + ... + 87.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798).

588 is an abundant number, since it is smaller than the sum of its proper divisors (1008).

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

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

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

The sum of its prime factors is 21 (or 12 counting only the distinct ones).

The product of its digits is 320, while the sum is 21.

The square root of 588 is about 24.2487113060. The cubic root of 588 is about 8.3777187282.

The spelling of 588 in words is "five hundred eighty-eight", and thus it is an aban number and an oban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588