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9966048 = 253103813
BaseRepresentation
bin100110000001…
…000111100000
3200202022211220
4212001013200
510022403143
6553335040
7150465351
oct46010740
920668756
109966048
115697704
123407480
1320ac291
141475d28
15d1cd83
hex9811e0

9966048 has 24 divisors (see below), whose sum is σ = 26161128. Its totient is φ = 3321984.

The previous prime is 9966037. The next prime is 9966091. The reversal of 9966048 is 8406699.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×99660482 = 198644225476608, which 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 3 ways as a sum of consecutive naturals, for example, 51811 + ... + 52002.

It is an arithmetic number, because the mean of its divisors is an integer number (1090047).

Almost surely, 29966048 is an apocalyptic number.

It is an amenable number.

9966048 is an abundant number, since it is smaller than the sum of its proper divisors (16195080).

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

9966048 is a wasteful number, since it uses less digits than its factorization.

9966048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103826 (or 103818 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 9966048 is about 3156.9048132625. The cubic root of 9966048 is about 215.1993679818.

The spelling of 9966048 in words is "nine million, nine hundred sixty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103813 207626 311439 415252 622878 830504 1245756 1661008 2491512 3322016 4983024 9966048