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9983748 = 2232361593
BaseRepresentation
bin100110000101…
…011100000100
3200210020010110
4212011130010
510023434443
6553553020
7150601065
oct46053404
920706113
109983748
1156a9a35
123415770
1320b7358
14147c56c
15d23233
hex985704

9983748 has 48 divisors (see below), whose sum is σ = 24748416. Its totient is φ = 3125760.

The previous prime is 9983723. The next prime is 9983773. The reversal of 9983748 is 8473899.

It is an interprime number because it is at equal distance from previous prime (9983723) and next prime (9983773).

It is a d-powerful number, because it can be written as 92 + 93 + 87 + 313 + 7 + 411 + 87 .

It is a junction number, because it is equal to n+sod(n) for n = 9983697 and 9983706.

It is a congruent 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, 16540 + ... + 17132.

It is an arithmetic number, because the mean of its divisors is an integer number (515592).

Almost surely, 29983748 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 9983748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12374208).

9983748 is an abundant number, since it is smaller than the sum of its proper divisors (14764668).

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

9983748 is a wasteful number, since it uses less digits than its factorization.

9983748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 682 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 9983748 is about 3159.7069484368. The cubic root of 9983748 is about 215.3266928102.

It can be divided in two parts, 9983 and 748, that added together give a triangular number (10731 = T146).

The spelling of 9983748 in words is "nine million, nine hundred eighty-three thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 12 23 46 61 69 92 122 138 183 244 276 366 593 732 1186 1403 1779 2372 2806 3558 4209 5612 7116 8418 13639 16836 27278 36173 40917 54556 72346 81834 108519 144692 163668 217038 434076 831979 1663958 2495937 3327916 4991874 9983748