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90535225 = 521121732
BaseRepresentation
bin1010110010101…
…11010100111001
320022100122222111
411121113110321
5141134111400
612552252321
72146352044
oct531272471
9208318874
1090535225
1147117500
12263a10a1
13159ab751
14c049c5b
157e353ba
hex5657539

90535225 has 27 divisors (see below), whose sum is σ = 124114669. Its totient is φ = 65463200.

The previous prime is 90535177. The next prime is 90535229. The reversal of 90535225 is 52253509.

The square root of 90535225 is 9515.

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 9966649 + 80568576 = 3157^2 + 8976^2 .

It is not a de Polignac number, because 90535225 - 213 = 90527033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90535229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 523239 + ... + 523411.

Almost surely, 290535225 is an apocalyptic number.

90535225 is the 9515-th square number.

90535225 is the 4758-th centered octagonal number.

It is an amenable number.

90535225 is a deficient number, since it is larger than the sum of its proper divisors (33579444).

90535225 is a wasteful number, since it uses less digits than its factorization.

90535225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

The cubic root of 90535225 is about 449.0270749526.

The spelling of 90535225 in words is "ninety million, five hundred thirty-five thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 173 275 605 865 1903 3025 4325 9515 20933 29929 47575 104665 149645 329219 523325 748225 1646095 3621409 8230475 18107045 90535225