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996007712 = 25727972
BaseRepresentation
bin111011010111011…
…101111100100000
32120102011102201112
4323113131330200
54014434221322
6242455522452
733452632400
oct7327357440
92512142645
10996007712
11471247377
12239689428
1312b46cc9b
14963cc800
155c6935e2
hex3b5ddf20

996007712 has 54 divisors (see below), whose sum is σ = 2283901137. Its totient is φ = 426324864.

The previous prime is 996007703. The next prime is 996007741. The reversal of 996007712 is 217700699.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 995781136 + 226576 = 31556^2 + 476^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=22316.

It is a self number, because there is not a number n which added to its sum of digits gives 996007712.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1249298 + ... + 1250094.

Almost surely, 2996007712 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 996007712

996007712 is an abundant number, since it is smaller than the sum of its proper divisors (1287893425).

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

996007712 is an frugal number, since it uses more digits than its factorization.

996007712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 41.

The square root of 996007712 is about 31559.5898579180. The cubic root of 996007712 is about 998.6674624658.

The spelling of 996007712 in words is "nine hundred ninety-six million, seven thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 797 1568 1594 3188 5579 6376 11158 12752 22316 25504 39053 44632 78106 89264 156212 178528 312424 624848 635209 1249696 1270418 2540836 4446463 5081672 8892926 10163344 17785852 20326688 31125241 35571704 62250482 71143408 124500964 142286816 249001928 498003856 996007712