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448990191 = 321310933511
BaseRepresentation
bin11010110000110…
…000101111101111
31011021212001202100
4122300300233233
51404420141231
6112315230143
714061232206
oct3260605757
91137761670
10448990191
11210496a81
12106448353
1372035190
14438b823d
152963e1e6
hex1ac30bef

448990191 has 24 divisors (see below), whose sum is σ = 699267296. Its totient is φ = 275970240.

The previous prime is 448990169. The next prime is 448990211. The reversal of 448990191 is 191099844.

It is a Wieferich number.

It is not a de Polignac number, because 448990191 - 27 = 448990063 is a prime.

It is a super-2 number, since 2×4489901912 = 403184383228432962, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448990141) 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 23 ways as a sum of consecutive naturals, for example, 126126 + ... + 129636.

Almost surely, 2448990191 is an apocalyptic number.

448990191 is a deficient number, since it is larger than the sum of its proper divisors (250277105).

448990191 is a wasteful number, since it uses less digits than its factorization.

448990191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4623 (or 4620 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 448990191 is about 21189.3886414875. The cubic root of 448990191 is about 765.7357985332.

The spelling of 448990191 in words is "four hundred forty-eight million, nine hundred ninety thousand, one hundred ninety-one".

Divisors: 1 3 9 13 39 117 1093 3279 3511 9837 10533 14209 31599 42627 45643 127881 136929 410787 3837523 11512569 34537707 49887799 149663397 448990191