Search a number
-
+
28026306 = 23271173277
BaseRepresentation
bin110101011101…
…0010111000010
31221201212212100
41222322113002
524133320211
62440411230
7460135230
oct152722702
957655770
1028026306
1114902640
129476b16
135a63819
143a17950
1526d9156
hex1aba5c2

28026306 has 96 divisors (see below), whose sum is σ = 77021568. Its totient is φ = 7153920.

The previous prime is 28026281. The next prime is 28026331. The reversal of 28026306 is 60362082.

28026306 is a `hidden beast` number, since 28 + 0 + 2 + 630 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (28026281) and next prime (28026331).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 28026306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101040 + ... + 101316.

It is an arithmetic number, because the mean of its divisors is an integer number (802308).

Almost surely, 228026306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28026306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38510784).

28026306 is an abundant number, since it is smaller than the sum of its proper divisors (48995262).

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

28026306 is a wasteful number, since it uses less digits than its factorization.

28026306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 28026306 is about 5293.9877219351. The cubic root of 28026306 is about 303.7539632669.

Adding to 28026306 its reverse (60362082), we get a palindrome (88388388).

The spelling of 28026306 in words is "twenty-eight million, twenty-six thousand, three hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 73 77 99 126 146 154 198 219 231 277 438 462 511 554 657 693 803 831 1022 1314 1386 1533 1606 1662 1939 2409 2493 3047 3066 3878 4599 4818 4986 5621 5817 6094 7227 9141 9198 11242 11634 14454 16863 17451 18282 20221 21329 27423 33726 34902 40442 42658 50589 54846 60663 63987 101178 121326 127974 141547 181989 191961 222431 283094 363978 383922 424641 444862 667293 849282 1273923 1334586 1557017 2001879 2547846 3114034 4003758 4671051 9342102 14013153 28026306