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9983424 = 2631129163
BaseRepresentation
bin100110000101…
…010111000000
3200210012200110
4212011113000
510023432144
6553551320
7150600123
oct46052700
920705613
109983424
1156a9770
123415540
1320b7169
14147c3ba
15d230b9
hex9855c0

9983424 has 112 divisors (see below), whose sum is σ = 29992320. Its totient is φ = 2903040.

The previous prime is 9983423. The next prime is 9983497. The reversal of 9983424 is 4243899.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9983423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61167 + ... + 61329.

Almost surely, 29983424 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 9983424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14996160).

9983424 is an abundant number, since it is smaller than the sum of its proper divisors (20008896).

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

9983424 is a wasteful number, since it uses less digits than its factorization.

9983424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 208 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 9983424 is about 3159.6556774434. The cubic root of 9983424 is about 215.3243634711.

The spelling of 9983424 in words is "nine million, nine hundred eighty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 116 132 163 174 176 192 232 264 319 326 348 352 464 489 528 638 652 696 704 928 957 978 1056 1276 1304 1392 1793 1856 1914 1956 2112 2552 2608 2784 3586 3828 3912 4727 5104 5216 5379 5568 7172 7656 7824 9454 10208 10432 10758 14181 14344 15312 15648 18908 20416 21516 28362 28688 30624 31296 37816 43032 51997 56724 57376 61248 75632 86064 103994 113448 114752 151264 155991 172128 207988 226896 302528 311982 344256 415976 453792 623964 831952 907584 1247928 1663904 2495856 3327808 4991712 9983424