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96366829 = 13172691621
BaseRepresentation
bin1011011111001…
…11000011101101
320201022221102211
411233213003231
5144132214304
613321250421
72250050566
oct557470355
9221287384
1096366829
114a43a909
1228333a11
1316c70bc0
14cb2716d
1586d8204
hex5be70ed

96366829 has 16 divisors (see below), whose sum is σ = 110360880. Its totient is φ = 83358720.

The previous prime is 96366799. The next prime is 96366839. The reversal of 96366829 is 92866369.

It can be written as a sum of positive squares in 8 ways, for example, as 2722500 + 93644329 = 1650^2 + 9677^2 .

It is a cyclic number.

It is not a de Polignac number, because 96366829 - 29 = 96366317 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 (96366839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58639 + ... + 60259.

It is an arithmetic number, because the mean of its divisors is an integer number (6897555).

Almost surely, 296366829 is an apocalyptic number.

It is an amenable number.

96366829 is a deficient number, since it is larger than the sum of its proper divisors (13994051).

96366829 is a wasteful number, since it uses less digits than its factorization.

96366829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920.

The product of its digits is 839808, while the sum is 49.

The square root of 96366829 is about 9816.6607866423. The cubic root of 96366829 is about 458.4681701651.

The spelling of 96366829 in words is "ninety-six million, three hundred sixty-six thousand, eight hundred twenty-nine".

Divisors: 1 13 17 221 269 1621 3497 4573 21073 27557 59449 358241 436049 5668637 7412833 96366829