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88642225 = 52722692
BaseRepresentation
bin1010100100010…
…01001010110001
320011210111021101
411102021022301
5140143022400
612443524401
72124306100
oct522111261
9204714241
1088642225
1146044241
1225829701
1315497c29
14bab6037
157bae56a
hex54892b1

88642225 has 27 divisors (see below), whose sum is σ = 128338977. Its totient is φ = 60557280.

The previous prime is 88642223. The next prime is 88642231. The reversal of 88642225 is 52224688.

The square root of 88642225 is 9415.

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

It can be written as a sum of positive squares in 4 ways, for example, as 34000561 + 54641664 = 5831^2 + 7392^2 .

It is not a de Polignac number, because 88642225 - 21 = 88642223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88642223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 329391 + ... + 329659.

Almost surely, 288642225 is an apocalyptic number.

88642225 is the 9415-th square number.

88642225 is the 4708-th centered octagonal number.

It is an amenable number.

88642225 is a deficient number, since it is larger than the sum of its proper divisors (39696752).

88642225 is an equidigital number, since it uses as much as digits as its factorization.

88642225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 281 counting only the distinct ones).

The product of its digits is 61440, while the sum is 37.

The cubic root of 88642225 is about 445.8754386142.

The spelling of 88642225 in words is "eighty-eight million, six hundred forty-two thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 269 1225 1345 1883 6725 9415 13181 47075 65905 72361 329525 361805 506527 1809025 2532635 3545689 12663175 17728445 88642225