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28125306 = 235115261
BaseRepresentation
bin110101101001…
…0100001111010
31221220220200000
41223102201322
524200002211
62442453430
7461026656
oct153224172
957826600
1028125306
111496aa60
129504276
135a998c1
143a41a66
152708656
hex1ad287a

28125306 has 48 divisors (see below), whose sum is σ = 68953248. Its totient is φ = 8521200.

The previous prime is 28125299. The next prime is 28125313. The reversal of 28125306 is 60352182.

It is an interprime number because it is at equal distance from previous prime (28125299) and next prime (28125313).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 28125306.

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 23 ways as a sum of consecutive naturals, for example, 2716 + ... + 7976.

It is an arithmetic number, because the mean of its divisors is an integer number (1436526).

Almost surely, 228125306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28125306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34476624).

28125306 is an abundant number, since it is smaller than the sum of its proper divisors (40827942).

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

28125306 is a wasteful number, since it uses less digits than its factorization.

28125306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5289 (or 5277 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 28125306 is about 5303.3297087773. The cubic root of 28125306 is about 304.1112026806. Note that the first 3 decimals are identical.

Adding to 28125306 its reverse (60352182), we get a palindrome (88477488).

It can be divided in two parts, 2812 and 5306, that added together give a palindrome (8118).

The spelling of 28125306 in words is "twenty-eight million, one hundred twenty-five thousand, three hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 891 1782 2673 5261 5346 10522 15783 31566 47349 57871 94698 115742 142047 173613 284094 347226 426141 520839 852282 1041678 1278423 1562517 2556846 3125034 4687551 9375102 14062653 28125306