Search a number
-
+
28602 = 2327227
BaseRepresentation
bin110111110111010
31110020100
412332322
51403402
6340230
7146250
oct67672
943210
1028602
111a542
1214676
1310032
14a5d0
15871c
hex6fba

28602 has 24 divisors (see below), whose sum is σ = 71136. Its totient is φ = 8136.

The previous prime is 28597. The next prime is 28603. The reversal of 28602 is 20682.

Adding to 28602 its reverse (20682), we get a square (49284 = 2222).

It can be divided in two parts, 28 and 602, that added together give a triangular number (630 = T35).

28602 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (28603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13 + ... + 239.

It is an arithmetic number, because the mean of its divisors is an integer number (2964).

228602 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35568).

28602 is an abundant number, since it is smaller than the sum of its proper divisors (42534).

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

28602 is a wasteful number, since it uses less digits than its factorization.

28602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 28602 is about 169.1212582735. The cubic root of 28602 is about 30.5819706686.

The spelling of 28602 in words is "twenty-eight thousand, six hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 227 454 681 1362 1589 2043 3178 4086 4767 9534 14301 28602