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9998976 = 273132003
BaseRepresentation
bin100110001001…
…001010000000
3200211000000110
4212021022000
510024431401
6554151320
7150663351
oct46111200
920730013
109998976
11570a419
123422540
1320c1270
141483d28
15d279d6
hex989280

9998976 has 64 divisors (see below), whose sum is σ = 28617120. Its totient is φ = 3075072.

The previous prime is 9998971. The next prime is 9998977. The reversal of 9998976 is 6798999.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (9998971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3991 + ... + 5993.

Almost surely, 29998976 is an apocalyptic number.

9998976 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9998976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14308560).

9998976 is an abundant number, since it is smaller than the sum of its proper divisors (18618144).

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

9998976 is a wasteful number, since it uses less digits than its factorization.

9998976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2021 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 57.

The square root of 9998976 is about 3162.1157474071. The cubic root of 9998976 is about 215.4361149484.

The spelling of 9998976 in words is "nine million, nine hundred ninety-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2003 2496 4006 4992 6009 8012 12018 16024 24036 26039 32048 48072 52078 64096 78117 96144 104156 128192 156234 192288 208312 256384 312468 384576 416624 624936 769152 833248 1249872 1666496 2499744 3332992 4999488 9998976