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28256144 = 2472231567
BaseRepresentation
bin110101111001…
…0011110010000
31222011120010212
41223302132100
524213144034
62445343252
7462113300
oct153623620
958146125
1028256144
1114a4a294
129567b28
135b14317
143a77600
1527322ce
hex1af2790

28256144 has 60 divisors (see below), whose sum is σ = 66495744. Its totient is φ = 11575872.

The previous prime is 28256141. The next prime is 28256161. The reversal of 28256144 is 44165282.

It is a self number, because there is not a number n which added to its sum of digits gives 28256144.

It is not an unprimeable number, because it can be changed into a prime (28256141) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 17249 + ... + 18815.

Almost surely, 228256144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28256144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33247872).

28256144 is an abundant number, since it is smaller than the sum of its proper divisors (38239600).

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

28256144 is a wasteful number, since it uses less digits than its factorization.

28256144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1599 counting only the distinct ones).

The product of its digits is 15360, while the sum is 32.

The square root of 28256144 is about 5315.6508538466. The cubic root of 28256144 is about 304.5820450956.

The spelling of 28256144 in words is "twenty-eight million, two hundred fifty-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 161 184 196 322 368 392 644 784 1127 1288 1567 2254 2576 3134 4508 6268 9016 10969 12536 18032 21938 25072 36041 43876 72082 76783 87752 144164 153566 175504 252287 288328 307132 504574 576656 614264 1009148 1228528 1766009 2018296 3532018 4036592 7064036 14128072 28256144