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288694081 = 13213072
BaseRepresentation
bin10001001101010…
…001111101000001
3202010020011211101
4101031101331001
51042401202311
644351414401
710103600464
oct2115217501
9663204741
10288694081
11138a62155
1280824401
1347a6ca00
142a4ad2db
151a528ec1
hex11351f41

288694081 has 9 divisors (see below), whose sum is σ = 312848931. Its totient is φ = 266282952.

The previous prime is 288694073. The next prime is 288694097. The reversal of 288694081 is 180496882.

The square root of 288694081 is 16991.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 42706225 + 245987856 = 6535^2 + 15684^2 .

It is not a de Polignac number, because 288694081 - 23 = 288694073 is a prime.

It is a super-2 number, since 2×2886940812 = 166688544808869122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288694181) 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 8 ways as a sum of consecutive naturals, for example, 220230 + ... + 221536.

Almost surely, 2288694081 is an apocalyptic number.

288694081 is the 16991-st square number.

288694081 is the 8496-th centered octagonal number.

It is an amenable number.

288694081 is a deficient number, since it is larger than the sum of its proper divisors (24154850).

288694081 is an frugal number, since it uses more digits than its factorization.

288694081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

The cubic root of 288694081 is about 660.9155345803.

The spelling of 288694081 in words is "two hundred eighty-eight million, six hundred ninety-four thousand, eighty-one".

Divisors: 1 13 169 1307 16991 220883 1708249 22207237 288694081