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288927 = 352941
BaseRepresentation
bin1000110100010011111
3112200100000
41012202133
533221202
610105343
72312232
oct1064237
9480300
10288927
11188091
1211b253
13a1682
1477419
155a91c
hex4689f

288927 has 24 divisors (see below), whose sum is σ = 458640. Its totient is φ = 181440.

The previous prime is 288913. The next prime is 288929. The reversal of 288927 is 729882.

It is not a de Polignac number, because 288927 - 212 = 284831 is a prime.

It is a super-2 number, since 2×2889272 = 166957622658, which contains 22 as substring.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 288891 and 288900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288929) 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, 7027 + ... + 7067.

It is an arithmetic number, because the mean of its divisors is an integer number (19110).

2288927 is an apocalyptic number.

288927 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

288927 is a deficient number, since it is larger than the sum of its proper divisors (169713).

288927 is an equidigital number, since it uses as much as digits as its factorization.

288927 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 73 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 288927 is about 537.5193019790. The cubic root of 288927 is about 66.1093229488.

It can be divided in two parts, 2889 and 27, that added together give a square (2916 = 542).

The spelling of 288927 in words is "two hundred eighty-eight thousand, nine hundred twenty-seven".

Divisors: 1 3 9 27 29 41 81 87 123 243 261 369 783 1107 1189 2349 3321 3567 7047 9963 10701 32103 96309 288927