[go: up one dir, main page]

Search a number
-
+
28205034 = 23111371463
BaseRepresentation
bin110101110010…
…1111111101010
31222001222000220
41223211333222
524210030114
62444310510
7461511264
oct153457752
958058026
1028205034
1114a14950
129542436
135ac6c90
143a62b34
1527220a9
hex1ae5fea

28205034 has 64 divisors (see below), whose sum is σ = 67350528. Its totient is φ = 7761600.

The previous prime is 28205027. The next prime is 28205039. The reversal of 28205034 is 43050282.

It is a super-3 number, since 3×282050343 (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28204995 and 28205013.

It is not an unprimeable number, because it can be changed into a prime (28205039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60687 + ... + 61149.

It is an arithmetic number, because the mean of its divisors is an integer number (1052352).

Almost surely, 228205034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28205034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33675264).

28205034 is an abundant number, since it is smaller than the sum of its proper divisors (39145494).

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

28205034 is a wasteful number, since it uses less digits than its factorization.

28205034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 28205034 is about 5310.8411763110. The cubic root of 28205034 is about 304.3982905606.

The spelling of 28205034 in words is "twenty-eight million, two hundred five thousand, thirty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 71 78 142 143 213 286 426 429 463 781 858 923 926 1389 1562 1846 2343 2769 2778 4686 5093 5538 6019 10153 10186 12038 15279 18057 20306 30459 30558 32873 36114 60918 65746 66209 98619 132418 197238 198627 361603 397254 427349 723206 854698 1084809 1282047 2169618 2564094 4700839 9401678 14102517 28205034