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1921193008 = 247311274357
BaseRepresentation
bin111001010000011…
…0001010000110000
311221220001201100121
41302200301100300
512413311134013
6514345500024
765415604540
oct16240612060
94856051317
101921193008
118a6510819
124574a1614
13248043cc7
14143223320
15b39e758d
hex72831430

1921193008 has 80 divisors (see below), whose sum is σ = 4426891264. Its totient is φ = 790352640.

The previous prime is 1921193003. The next prime is 1921193011. The reversal of 1921193008 is 8003911291.

It is not an unprimeable number, because it can be changed into a prime (1921193003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438766 + ... + 443122.

Almost surely, 21921193008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1921193008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213445632).

1921193008 is an abundant number, since it is smaller than the sum of its proper divisors (2505698256).

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

1921193008 is a wasteful number, since it uses less digits than its factorization.

1921193008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4530 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 34.

The square root of 1921193008 is about 43831.4157654074. The cubic root of 1921193008 is about 1243.1503763899.

The spelling of 1921193008 in words is "one billion, nine hundred twenty-one million, one hundred ninety-three thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 127 217 248 254 434 496 508 868 889 1016 1736 1778 2032 3472 3556 3937 4357 7112 7874 8714 14224 15748 17428 27559 30499 31496 34856 55118 60998 62992 69712 110236 121996 135067 220472 243992 270134 440944 487984 540268 553339 945469 1080536 1106678 1890938 2161072 2213356 3781876 3873373 4426712 7563752 7746746 8853424 15127504 15493492 17153509 30986984 34307018 61973968 68614036 120074563 137228072 240149126 274456144 480298252 960596504 1921193008