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59148 = 22323153
BaseRepresentation
bin1110011100001100
310000010200
432130030
53343043
61133500
7334305
oct163414
9100120
1059148
1140491
122a290
1320bcb
14177ac
15127d3
hexe70c

59148 has 36 divisors (see below), whose sum is σ = 157248. Its totient is φ = 18720.

The previous prime is 59141. The next prime is 59149. The reversal of 59148 is 84195.

59148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a plaindrome in base 14.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 59148.

It is not an unprimeable number, because it can be changed into a prime (59141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1090 + ... + 1142.

It is an arithmetic number, because the mean of its divisors is an integer number (4368).

259148 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 59148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624).

59148 is an abundant number, since it is smaller than the sum of its proper divisors (98100).

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

59148 is a wasteful number, since it uses less digits than its factorization.

59148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 89 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 59148 is about 243.2036183941. The cubic root of 59148 is about 38.9624885868.

The spelling of 59148 in words is "fifty-nine thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 53 62 93 106 124 159 186 212 279 318 372 477 558 636 954 1116 1643 1908 3286 4929 6572 9858 14787 19716 29574 59148