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9883296 = 25353141
BaseRepresentation
bin100101101100…
…111010100000
3200121010100000
4211230322200
510012231141
6551500000
7150002163
oct45547240
920533300
109883296
115640515
123387600
132080707
141453ada
15d035b6
hex96cea0

9883296 has 144 divisors (see below), whose sum is σ = 30820608. Its totient is φ = 3110400.

The previous prime is 9883283. The next prime is 9883303. The reversal of 9883296 is 6923889.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241036 + ... + 241076.

It is an arithmetic number, because the mean of its divisors is an integer number (214032).

Almost surely, 29883296 is an apocalyptic number.

9883296 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9883296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15410304).

9883296 is an abundant number, since it is smaller than the sum of its proper divisors (20937312).

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

9883296 is a wasteful number, since it uses less digits than its factorization.

9883296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 77 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 9883296 is about 3143.7709840254. The cubic root of 9883296 is about 214.6020835429.

The spelling of 9883296 in words is "nine million, eight hundred eighty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 41 48 54 62 72 81 82 93 96 108 123 124 144 162 164 186 216 243 246 248 279 288 324 328 369 372 432 486 492 496 558 648 656 738 744 837 864 972 984 992 1107 1116 1271 1296 1312 1476 1488 1674 1944 1968 2214 2232 2511 2542 2592 2952 2976 3321 3348 3813 3888 3936 4428 4464 5022 5084 5904 6642 6696 7533 7626 7776 8856 8928 9963 10044 10168 11439 11808 13284 13392 15066 15252 17712 19926 20088 20336 22878 26568 26784 30132 30504 34317 35424 39852 40176 40672 45756 53136 60264 61008 68634 79704 80352 91512 102951 106272 120528 122016 137268 159408 183024 205902 241056 274536 308853 318816 366048 411804 549072 617706 823608 1098144 1235412 1647216 2470824 3294432 4941648 9883296