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9998928 = 2432233019
BaseRepresentation
bin100110001001…
…001001010000
3200210222221200
4212021021100
510024431203
6554151200
7150663252
oct46111120
920728850
109998928
11570a385
123422500
1320c1234
141483cd2
15d279a3
hex989250

9998928 has 60 divisors (see below), whose sum is σ = 29209440. Its totient is φ = 3187008.

The previous prime is 9998903. The next prime is 9998929. The reversal of 9998928 is 8298999.

It is a super-2 number, since 2×99989282 = 199957122298368, 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 (9998929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1803 + ... + 4821.

It is an arithmetic number, because the mean of its divisors is an integer number (486824).

Almost surely, 29998928 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 9998928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14604720).

9998928 is an abundant number, since it is smaller than the sum of its proper divisors (19210512).

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

9998928 is a wasteful number, since it uses less digits than its factorization.

9998928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3056 (or 3047 counting only the distinct ones).

The product of its digits is 839808, while the sum is 54.

The square root of 9998928 is about 3162.1081575430. The cubic root of 9998928 is about 215.4357702148.

The spelling of 9998928 in words is "nine million, nine hundred ninety-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3019 3312 6038 9057 12076 18114 24152 27171 36228 48304 54342 69437 72456 108684 138874 144912 208311 217368 277748 416622 434736 555496 624933 833244 1110992 1249866 1666488 2499732 3332976 4999464 9998928