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998478432 = 25327495277
BaseRepresentation
bin111011100000111…
…001001001100000
32120120210221220200
4323200321021200
54021102302212
6243024505200
733512632560
oct7340711140
92516727820
10998478432
11472684696
1223a47b200
1312bb26753
1496872da0
155c9d06dc
hex3b839260

998478432 has 72 divisors (see below), whose sum is σ = 3245061456. Its totient is φ = 285278976.

The previous prime is 998478427. The next prime is 998478433. The reversal of 998478432 is 234874899.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (998478433) 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 11 ways as a sum of consecutive naturals, for example, 245623 + ... + 249654.

It is an arithmetic number, because the mean of its divisors is an integer number (45070298).

Almost surely, 2998478432 is an apocalyptic number.

It is an amenable number.

998478432 is an abundant number, since it is smaller than the sum of its proper divisors (2246583024).

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

998478432 is a wasteful number, since it uses less digits than its factorization.

998478432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495300 (or 495289 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 998478432 is about 31598.7093407310. The cubic root of 998478432 is about 999.4925532080.

The spelling of 998478432 in words is "nine hundred ninety-eight million, four hundred seventy-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 495277 990554 1485831 1981108 2971662 3466939 3962216 4457493 5943324 6933878 7924432 8914986 10400817 11886648 13867756 15848864 17829972 20801634 23773296 27735512 31202451 35659944 41603268 47546592 55471024 62404902 71319888 83206536 110942048 124809804 142639776 166413072 249619608 332826144 499239216 998478432