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90362313 = 3231213217
BaseRepresentation
bin1010110001011…
…01000111001001
320022000212210100
411120231013021
5141113043223
612544440013
72145031656
oct530550711
9208025710
1090362313
11470095a8
1226319009
131594ab32
14c002c2d
157dee043
hex562d1c9

90362313 has 12 divisors (see below), whose sum is σ = 130605748. Its totient is φ = 60203520.

The previous prime is 90362299. The next prime is 90362351. The reversal of 90362313 is 31326309.

It can be written as a sum of positive squares in 2 ways, for example, as 32114889 + 58247424 = 5667^2 + 7632^2 .

It is not a de Polignac number, because 90362313 - 212 = 90358217 is a prime.

It is a super-2 number, since 2×903623132 = 16330695221419938, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (90362383) 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 11 ways as a sum of consecutive naturals, for example, 26481 + ... + 29697.

Almost surely, 290362313 is an apocalyptic number.

It is an amenable number.

90362313 is a deficient number, since it is larger than the sum of its proper divisors (40243435).

90362313 is a wasteful number, since it uses less digits than its factorization.

90362313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6344 (or 6341 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 90362313 is about 9505.9093725956. The cubic root of 90362313 is about 448.7410291940.

The spelling of 90362313 in words is "ninety million, three hundred sixty-two thousand, three hundred thirteen".

Divisors: 1 3 9 3121 3217 9363 9651 28089 28953 10040257 30120771 90362313