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90859249 = 138218513
BaseRepresentation
bin1010110101001…
…10011011110001
320022222010110101
411122212123301
5141224443444
613003232401
72152201525
oct532463361
9208863411
1090859249
1147318998
1226518701
1315a93090
14c0d1d85
157e9b3d4
hex56a66f1

90859249 has 8 divisors (see below), whose sum is σ = 97979112. Its totient is φ = 83758080.

The previous prime is 90859217. The next prime is 90859277. The reversal of 90859249 is 94295809.

It can be written as a sum of positive squares in 4 ways, for example, as 13542400 + 77316849 = 3680^2 + 8793^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 90859249 - 25 = 90859217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 90859199 and 90859208.

It is not an unprimeable number, because it can be changed into a prime (90853249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6417 + ... + 14929.

It is an arithmetic number, because the mean of its divisors is an integer number (12247389).

Almost surely, 290859249 is an apocalyptic number.

It is an amenable number.

90859249 is a deficient number, since it is larger than the sum of its proper divisors (7119863).

90859249 is a wasteful number, since it uses less digits than its factorization.

90859249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9347.

The product of its (nonzero) digits is 233280, while the sum is 46.

The square root of 90859249 is about 9532.0118023427. The cubic root of 90859249 is about 449.5621238535.

The spelling of 90859249 in words is "ninety million, eight hundred fifty-nine thousand, two hundred forty-nine".

Divisors: 1 13 821 8513 10673 110669 6989173 90859249