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90287257 = 67220113
BaseRepresentation
bin1010110000110…
…10110010011001
320021220001211111
411120122302121
5141103143012
612543100321
72144300104
oct530326231
9207801744
1090287257
1146a68175
12262a16a1
1315922918
14bdc373b
157dd6ba7
hex561ac99

90287257 has 6 divisors (see below), whose sum is σ = 91659498. Its totient is φ = 88935264.

The previous prime is 90287251. The next prime is 90287303. The reversal of 90287257 is 75278209.

It can be written as a sum of positive squares in only one way, i.e., 56310016 + 33977241 = 7504^2 + 5829^2 .

It is not a de Polignac number, because 90287257 - 27 = 90287129 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90287251) 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 5 ways as a sum of consecutive naturals, for example, 5568 + ... + 14545.

It is an arithmetic number, because the mean of its divisors is an integer number (15276583).

Almost surely, 290287257 is an apocalyptic number.

It is an amenable number.

90287257 is a deficient number, since it is larger than the sum of its proper divisors (1372241).

90287257 is an equidigital number, since it uses as much as digits as its factorization.

90287257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20247 (or 20180 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 90287257 is about 9501.9606924045. The cubic root of 90287257 is about 448.6167515866.

The spelling of 90287257 in words is "ninety million, two hundred eighty-seven thousand, two hundred fifty-seven".

Divisors: 1 67 4489 20113 1347571 90287257