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28048617 = 321928997
BaseRepresentation
bin110101011111…
…1110011101001
31221210000110200
41222333303221
524140023432
62441102413
7460260252
oct152776351
957700420
1028048617
1114918383
129487a09
135a70a1c
143a21b29
1526e0a7c
hex1abfce9

28048617 has 36 divisors (see below), whose sum is σ = 43685460. Its totient is φ = 17335296.

The previous prime is 28048591. The next prime is 28048619. The reversal of 28048617 is 71684082.

It can be written as a sum of positive squares in 2 ways, for example, as 8785296 + 19263321 = 2964^2 + 4389^2 .

It is not a de Polignac number, because 28048617 - 211 = 28046569 is a prime.

It is a super-3 number, since 3×280486173 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (28048619) 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 35 ways as a sum of consecutive naturals, for example, 289113 + ... + 289209.

It is an arithmetic number, because the mean of its divisors is an integer number (1213485).

Almost surely, 228048617 is an apocalyptic number.

It is an amenable number.

28048617 is a deficient number, since it is larger than the sum of its proper divisors (15636843).

28048617 is a wasteful number, since it uses less digits than its factorization.

28048617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 28048617 is about 5296.0945044438. The cubic root of 28048617 is about 303.8345453829.

The spelling of 28048617 in words is "twenty-eight million, forty-eight thousand, six hundred seventeen".

Divisors: 1 3 9 19 57 89 97 171 267 291 361 801 873 1083 1691 1843 3249 5073 5529 8633 15219 16587 25899 32129 35017 77697 96387 105051 164027 289161 315153 492081 1476243 3116513 9349539 28048617