Search a number
-
+
28230642 = 23211178387
BaseRepresentation
bin110101110110…
…0001111110010
31222010021011100
41223230033302
524211340032
62445025230
7461646036
oct153541762
958107140
1028230642
1114a32110
129555216
135b0582b
143a6c1c6
15272997c
hex1aec3f2

28230642 has 48 divisors (see below), whose sum is σ = 70660512. Its totient is φ = 8050560.

The previous prime is 28230623. The next prime is 28230647. The reversal of 28230642 is 24603282.

It is not an unprimeable number, because it can be changed into a prime (28230647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 828 + ... + 7559.

It is an arithmetic number, because the mean of its divisors is an integer number (1472094).

Almost surely, 228230642 is an apocalyptic number.

28230642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 28230642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35330256).

28230642 is an abundant number, since it is smaller than the sum of its proper divisors (42429870).

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

28230642 is a wasteful number, since it uses less digits than its factorization.

28230642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8423 (or 8420 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 28230642 is about 5313.2515468402. The cubic root of 28230642 is about 304.4903861007.

The spelling of 28230642 in words is "twenty-eight million, two hundred thirty thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 8387 16774 25161 50322 75483 92257 142579 150966 184514 276771 285158 427737 553542 830313 855474 1283211 1568369 1660626 2566422 3136738 4705107 9410214 14115321 28230642