59048 has 24 divisors (see below), whose sum is σ = 123690. Its totient is φ = 26400.

The previous prime is 59029. The next prime is 59051. The reversal of 59048 is 84095.

59048 is nontrivially palindromic in base 3 and base 9.

59048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 3^{10}-1.

It can be written as a sum of positive squares in only one way, i.e., 58564 + 484 = 242^2 + 22^2 .

59048 is a nontrivial repdigit in base 3 and base 9.

It is a plaindrome in base 3 and base 9.

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3 and base 9.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 59048.

It is an unprimeable number.

59048 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 938 + ... + 998.

59048 is a Friedman number, since it can be written as 9^5-(8+4)^0, using all its digits and the basic arithmetic operations.

2^{59048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61845).

59048 is an abundant number, since it is smaller than the sum of its proper divisors (64642).

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

59048 is a wasteful number, since it uses less digits than its factorization.

59048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 59048 is about 242.9979423781. The cubic root of 59048 is about 38.9405185755.

The spelling of 59048 in words is "fifty-nine thousand, forty-eight".

Divisors: 1 2 4 8 11 22 44 61 88 121 122 242 244 484 488 671 968 1342 2684 5368 7381 14762 29524 59048

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