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9988608 = 2937929
BaseRepresentation
bin100110000110…
…101000000000
3200210110210110
4212012220000
510024113413
6554031320
7150621210
oct46065000
920713713
109988608
115702653
123418540
1320b9626
141480240
15d248c3
hex986a00

9988608 has 80 divisors (see below), whose sum is σ = 30444480. Its totient is φ = 2850816.

The previous prime is 9988607. The next prime is 9988609. The reversal of 9988608 is 8068899.

It is an interprime number because it is at equal distance from previous prime (9988607) and next prime (9988609).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (9988607) 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, 10288 + ... + 11216.

It is an arithmetic number, because the mean of its divisors is an integer number (380556).

Almost surely, 29988608 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 9988608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15222240).

9988608 is an abundant number, since it is smaller than the sum of its proper divisors (20455872).

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

9988608 is an equidigital number, since it uses as much as digits as its factorization.

9988608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The square root of 9988608 is about 3160.4759135295. The cubic root of 9988608 is about 215.3616268505.

The spelling of 9988608 in words is "nine million, nine hundred eighty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 929 1344 1536 1792 1858 2688 2787 3584 3716 5376 5574 6503 7432 10752 11148 13006 14864 19509 22296 26012 29728 39018 44592 52024 59456 78036 89184 104048 118912 156072 178368 208096 237824 312144 356736 416192 475648 624288 713472 832384 1248576 1426944 1664768 2497152 3329536 4994304 9988608