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9982982000 = 24534991491
BaseRepresentation
bin10010100110000100…
…00011011101110000
3221202201202000211002
421103002003131300
5130421120411000
64330333541132
7502246642535
oct112302033560
927681660732
109982982000
114263151152
121b273447a8
13c3130c454
146a9bb2d8c
153d664a8d5
hex253083770

9982982000 has 40 divisors (see below), whose sum is σ = 24138855312. Its totient is φ = 3993192000.

The previous prime is 9982981997. The next prime is 9982982027. The reversal of 9982982000 is 2892899.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×99829820002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2493746 + ... + 2497745.

Almost surely, 29982982000 is an apocalyptic number.

It is an amenable number.

9982982000 is an abundant number, since it is smaller than the sum of its proper divisors (14155873312).

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

9982982000 is a wasteful number, since it uses less digits than its factorization.

9982982000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4991514 (or 4991498 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 47.

The square root of 9982982000 is about 99914.8737676228. The cubic root of 9982982000 is about 2153.2118571118.

The spelling of 9982982000 in words is "nine billion, nine hundred eighty-two million, nine hundred eighty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 4991491 9982982 19965964 24957455 39931928 49914910 79863856 99829820 124787275 199659640 249574550 399319280 499149100 623936375 998298200 1247872750 1996596400 2495745500 4991491000 9982982000