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90342829 = 737731601
BaseRepresentation
bin1010110001010…
…00010110101101
320021222220001201
411120220112231
5141111432304
612544205501
72144621113
oct530502655
9207886051
1090342829
1146aa59a5
1226309891
1315941cc5
14bdd9ab3
157de83a4
hex56285ad

90342829 has 8 divisors (see below), whose sum is σ = 91756152. Its totient is φ = 88934400.

The previous prime is 90342817. The next prime is 90342839. The reversal of 90342829 is 92824309.

It can be written as a sum of positive squares in 4 ways, for example, as 23020804 + 67322025 = 4798^2 + 8205^2 .

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 90342829 - 211 = 90340781 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 (90342839) 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 7 ways as a sum of consecutive naturals, for example, 55629 + ... + 57229.

It is an arithmetic number, because the mean of its divisors is an integer number (11469519).

Almost surely, 290342829 is an apocalyptic number.

It is an amenable number.

90342829 is a deficient number, since it is larger than the sum of its proper divisors (1413323).

90342829 is a wasteful number, since it uses less digits than its factorization.

90342829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447.

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 90342829 is about 9504.8844811497. The cubic root of 90342829 is about 448.7087742328.

The spelling of 90342829 in words is "ninety million, three hundred forty-two thousand, eight hundred twenty-nine".

Divisors: 1 73 773 1601 56429 116873 1237573 90342829