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96849441 = 32131922293
BaseRepresentation
bin1011100010111…
…00111000100001
320202020110110100
411301130320201
5144243140231
613335453013
72254130613
oct561347041
9222213410
1096849441
114a73a467
1228527169
13170ac780
14cc10db3
1587811e6
hex5c5ce21

96849441 has 36 divisors (see below), whose sum is σ = 159070548. Its totient is φ = 56438208.

The previous prime is 96849427. The next prime is 96849457. The reversal of 96849441 is 14494869.

It can be written as a sum of positive squares in 2 ways, for example, as 20793600 + 76055841 = 4560^2 + 8721^2 .

It is not a de Polignac number, because 96849441 - 25 = 96849409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96849491) 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 35 ways as a sum of consecutive naturals, for example, 41091 + ... + 43383.

Almost surely, 296849441 is an apocalyptic number.

It is an amenable number.

96849441 is a deficient number, since it is larger than the sum of its proper divisors (62221107).

96849441 is a wasteful number, since it uses less digits than its factorization.

96849441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2328 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 96849441 is about 9841.2113583644. The cubic root of 96849441 is about 459.2322432435.

The spelling of 96849441 in words is "ninety-six million, eight hundred forty-nine thousand, four hundred forty-one".

Divisors: 1 3 9 13 19 39 57 117 171 247 361 741 1083 2223 2293 3249 4693 6879 14079 20637 29809 42237 43567 89427 130701 268281 392103 566371 827773 1699113 2483319 5097339 7449957 10761049 32283147 96849441