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193808096 = 25103127463
BaseRepresentation
bin10111000110101…
…00011011100000
3111111200110201122
423203110123200
5344103324341
631121551412
74542225116
oct1343243340
9444613648
10193808096
119a443989
1254aa5568
13311c9b61
141ba4dab6
151203494b
hexb8d46e0

193808096 has 48 divisors (see below), whose sum is σ = 389136384. Its totient is φ = 95001984.

The previous prime is 193808059. The next prime is 193808101. The reversal of 193808096 is 690808391.

It is a congruent number.

It is an unprimeable number.

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, 418361 + ... + 418823.

It is an arithmetic number, because the mean of its divisors is an integer number (8107008).

Almost surely, 2193808096 is an apocalyptic number.

193808096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

193808096 is an abundant number, since it is smaller than the sum of its proper divisors (195328288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

193808096 is a wasteful number, since it uses less digits than its factorization.

193808096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 44.

The square root of 193808096 is about 13921.4976205867. The cubic root of 193808096 is about 578.7050937080.

The spelling of 193808096 in words is "one hundred ninety-three million, eight hundred eight thousand, ninety-six".

Divisors: 1 2 4 8 16 32 103 127 206 254 412 463 508 824 926 1016 1648 1852 2032 3296 3704 4064 7408 13081 14816 26162 47689 52324 58801 95378 104648 117602 190756 209296 235204 381512 418592 470408 763024 940816 1526048 1881632 6056503 12113006 24226012 48452024 96904048 193808096