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9988384 = 257174361
BaseRepresentation
bin100110000110…
…100100100000
3200210110111011
4212012210200
510024112014
6554030304
7150620440
oct46064440
920713434
109988384
11570246a
123418394
1320b94b3
141480120
15d247c4
hex986920

9988384 has 96 divisors (see below), whose sum is σ = 24748416. Its totient is φ = 3870720.

The previous prime is 9988373. The next prime is 9988397. The reversal of 9988384 is 4838899.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163714 + ... + 163774.

It is an arithmetic number, because the mean of its divisors is an integer number (257796).

Almost surely, 29988384 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 9988384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12374208).

9988384 is an abundant number, since it is smaller than the sum of its proper divisors (14760032).

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

9988384 is a wasteful number, since it uses less digits than its factorization.

9988384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 130 counting only the distinct ones).

The product of its digits is 497664, while the sum is 49.

The square root of 9988384 is about 3160.4404756299. The cubic root of 9988384 is about 215.3600169710.

The spelling of 9988384 in words is "nine million, nine hundred eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 43 56 61 68 86 112 119 122 136 172 224 238 244 272 301 344 427 476 488 544 602 688 731 854 952 976 1037 1204 1376 1462 1708 1904 1952 2074 2408 2623 2924 3416 3808 4148 4816 5117 5246 5848 6832 7259 8296 9632 10234 10492 11696 13664 14518 16592 18361 20468 20984 23392 29036 33184 36722 40936 41968 44591 58072 73444 81872 83936 89182 116144 146888 163744 178364 232288 293776 312137 356728 587552 624274 713456 1248548 1426912 2497096 4994192 9988384