Search a number
-
+
28238544 = 2438269
BaseRepresentation
bin110101110111…
…0001011010000
31222010200000000
41223232023100
524212113134
62445130000
7462011055
oct153561320
958120000
1028238544
1114a38044
129559900
135b092c9
143a7102c
15272be99
hex1aee2d0

28238544 has 90 divisors (see below), whose sum is σ = 82369170. Its totient is φ = 9377856.

The previous prime is 28238537. The next prime is 28238563. The reversal of 28238544 is 44583282.

28238544 is a `hidden beast` number, since 2 + 82 + 38 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17740944 + 10497600 = 4212^2 + 3240^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28238499 and 28238508.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 104842 + ... + 105110.

It is an arithmetic number, because the mean of its divisors is an integer number (915213).

It is a vampire number, since it can be written as 48425832 (with its own digits).

Almost surely, 228238544 is an apocalyptic number.

28238544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28238544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41184585).

28238544 is an abundant number, since it is smaller than the sum of its proper divisors (54130626).

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

28238544 is an frugal number, since it uses more digits than its factorization.

28238544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 274 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 28238544 is about 5313.9951072616. The cubic root of 28238544 is about 304.5187932782.

It can be divided in two parts, 28238 and 544, that added together give a palindrome (28782).

The spelling of 28238544 in words is "twenty-eight million, two hundred thirty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 269 324 432 486 538 648 729 807 972 1076 1296 1458 1614 1944 2152 2187 2421 2916 3228 3888 4304 4374 4842 5832 6456 6561 7263 8748 9684 11664 12912 13122 14526 17496 19368 21789 26244 29052 34992 38736 43578 52488 58104 65367 87156 104976 116208 130734 174312 196101 261468 348624 392202 522936 588303 784404 1045872 1176606 1568808 1764909 2353212 3137616 3529818 4706424 7059636 9412848 14119272 28238544