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996283456 = 26723313119
BaseRepresentation
bin111011011000100…
…001010001000000
32120102200102222021
4323120201101000
54020022032311
6242505451224
733455161330
oct7330412100
92512612867
10996283456
11471415563
122397a0b14
1312b53864c
14964610c0
155c6ea171
hex3b621440

996283456 has 112 divisors (see below), whose sum is σ = 2434498560. Its totient is φ = 395112960.

The previous prime is 996283451. The next prime is 996283459. The reversal of 996283456 is 654382699.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (996283451) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 317865 + ... + 320983.

Almost surely, 2996283456 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 996283456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217249280).

996283456 is an abundant number, since it is smaller than the sum of its proper divisors (1438215104).

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

996283456 is a wasteful number, since it uses less digits than its factorization.

996283456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192 (or 3182 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 52.

The square root of 996283456 is about 31563.9581801776. The cubic root of 996283456 is about 998.7596140789.

The spelling of 996283456 in words is "nine hundred ninety-six million, two hundred eighty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 23 28 31 32 46 56 62 64 92 112 124 161 184 217 224 248 322 368 434 448 496 644 713 736 868 992 1288 1426 1472 1736 1984 2576 2852 3119 3472 4991 5152 5704 6238 6944 9982 10304 11408 12476 13888 19964 21833 22816 24952 39928 43666 45632 49904 71737 79856 87332 96689 99808 143474 159712 174664 193378 199616 286948 319424 349328 386756 502159 573896 676823 698656 773512 1004318 1147792 1353646 1397312 1547024 2008636 2223847 2295584 2707292 3094048 4017272 4447694 4591168 5414584 6188096 8034544 8895388 10829168 15566929 16069088 17790776 21658336 31133858 32138176 35581552 43316672 62267716 71163104 124535432 142326208 249070864 498141728 996283456