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996233472 = 28331311087
BaseRepresentation
bin111011011000010…
…101000100000000
32120102120220102000
4323120111010000
54020013432342
6242504424000
733454562523
oct7330250400
92512526360
10996233472
11471390a53
12239778000
1312b51b980
149644abba
155c6da44c
hex3b615100

996233472 has 144 divisors (see below), whose sum is σ = 3172942080. Its totient is φ = 306505728.

The previous prime is 996233461. The next prime is 996233489. The reversal of 996233472 is 274332699.

996233472 is a `hidden beast` number, since 99 + 62 + 33 + 472 = 666.

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

It is a super-2 number, since 2×9962334722 = 1984962261466349568, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 84313 + ... + 95399.

It is an arithmetic number, because the mean of its divisors is an integer number (22034320).

Almost surely, 2996233472 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 996233472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586471040).

996233472 is an abundant number, since it is smaller than the sum of its proper divisors (2176708608).

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

996233472 is a wasteful number, since it uses less digits than its factorization.

996233472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11125 (or 11105 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 996233472 is about 31563.1663810841. The cubic root of 996233472 is about 998.7429110562.

It can be divided in two parts, 9962 and 33472, that added together give a palindrome (43434).

The spelling of 996233472 in words is "nine hundred ninety-six million, two hundred thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 576 624 702 768 832 864 936 1152 1248 1404 1664 1728 1872 2304 2496 2808 3328 3456 3744 4992 5616 6912 7488 9984 11087 11232 14976 22174 22464 29952 33261 44348 44928 66522 88696 89856 99783 133044 144131 177392 199566 266088 288262 299349 354784 399132 432393 532176 576524 598698 709568 798264 864786 1064352 1153048 1197396 1297179 1419136 1596528 1729572 2128704 2306096 2394792 2594358 2838272 3193056 3459144 3891537 4257408 4612192 4789584 5188716 6386112 6918288 7783074 8514816 9224384 9579168 10377432 12772224 13836576 15566148 18448768 19158336 20754864 25544448 27673152 31132296 36897536 38316672 41509728 55346304 62264592 76633344 83019456 110692608 124529184 166038912 249058368 332077824 498116736 996233472