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996483312 = 2432116110313
BaseRepresentation
bin111011011001010…
…010000011110000
32120110001121010100
4323121102003300
54020044431222
6242514032400
733456653106
oct7331220360
92513047110
10996483312
11471541730
12239878700
1312b5a85c6
14964b3c76
155c7394ac
hex3b6520f0

996483312 has 120 divisors (see below), whose sum is σ = 3092467248. Its totient is φ = 296985600.

The previous prime is 996483283. The next prime is 996483317. The reversal of 996483312 is 213384699.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996483317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91468 + ... + 101780.

Almost surely, 2996483312 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 996483312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546233624).

996483312 is an abundant number, since it is smaller than the sum of its proper divisors (2095983936).

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

996483312 is a wasteful number, since it uses less digits than its factorization.

996483312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10399 (or 10390 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 996483312 is about 31567.1239108032. The cubic root of 996483312 is about 998.8263938541.

The spelling of 996483312 in words is "nine hundred ninety-six million, four hundred eighty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 61 66 72 88 99 122 132 144 176 183 198 244 264 366 396 488 528 549 671 732 792 976 1098 1342 1464 1584 2013 2196 2684 2928 4026 4392 5368 6039 8052 8784 10313 10736 12078 16104 20626 24156 30939 32208 41252 48312 61878 82504 92817 96624 113443 123756 165008 185634 226886 247512 340329 371268 453772 495024 629093 680658 742536 907544 1020987 1258186 1361316 1485072 1815088 1887279 2041974 2516372 2722632 3774558 4083948 5032744 5445264 5661837 6920023 7549116 8167896 10065488 11323674 13840046 15098232 16335792 20760069 22647348 27680092 30196464 41520138 45294696 55360184 62280207 83040276 90589392 110720368 124560414 166080552 249120828 332161104 498241656 996483312