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998936928 = 253311105107
BaseRepresentation
bin111011100010101…
…001000101100000
32120121200020212000
4323202221011200
54021211440203
6243042404000
733516552363
oct7342510540
92517606760
10998936928
11472968110
1223a660600
1312bc57352
14969520da
155ca714a3
hex3b8a9160

998936928 has 96 divisors (see below), whose sum is σ = 3178465920. Its totient is φ = 302705280.

The previous prime is 998936923. The next prime is 998936957. The reversal of 998936928 is 829639899.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×9989369282 = 1995749972244154368, which contains 22 as substring.

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 (998936923) 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 15 ways as a sum of consecutive naturals, for example, 43050 + ... + 62057.

It is an arithmetic number, because the mean of its divisors is an integer number (33109020).

Almost surely, 2998936928 is an apocalyptic number.

It is an amenable number.

998936928 is an abundant number, since it is smaller than the sum of its proper divisors (2179528992).

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

998936928 is a wasteful number, since it uses less digits than its factorization.

998936928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105137 (or 105123 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 63.

The square root of 998936928 is about 31605.9634879242. The cubic root of 998936928 is about 999.6455170233.

The spelling of 998936928 in words is "nine hundred ninety-eight million, nine hundred thirty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 105107 210214 315321 420428 630642 840856 945963 1156177 1261284 1681712 1891926 2312354 2522568 2837889 3363424 3468531 3783852 4624708 5045136 5675778 6937062 7567704 9249416 10090272 10405593 11351556 13874124 15135408 18498832 20811186 22703112 27748248 30270816 31216779 36997664 41622372 45406224 55496496 62433558 83244744 90812448 110992992 124867116 166489488 249734232 332978976 499468464 998936928