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996335496 = 2332131815881
BaseRepresentation
bin111011011000101…
…101111110001000
32120102210002100200
4323120231332020
54020030213441
6242510532200
733455466132
oct7330557610
92512702320
10996335496
11471450672
12239807060
1312b556240
1496476052
155c70a7b6
hex3b62df88

996335496 has 96 divisors (see below), whose sum is σ = 2922530520. Its totient is φ = 304819200.

The previous prime is 996335479. The next prime is 996335521. The reversal of 996335496 is 694533699.

996335496 is a `hidden beast` number, since 9 + 96 + 3 + 3 + 549 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 537776100 + 458559396 = 23190^2 + 21414^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166476 + ... + 172356.

Almost surely, 2996335496 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 996335496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461265260).

996335496 is an abundant number, since it is smaller than the sum of its proper divisors (1926195024).

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

996335496 is a wasteful number, since it uses less digits than its factorization.

996335496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6087 (or 6080 counting only the distinct ones).

The product of its digits is 4723920, while the sum is 54.

The square root of 996335496 is about 31564.7825273674. The cubic root of 996335496 is about 998.7770035561. Note that the first 3 decimals are identical.

The spelling of 996335496 in words is "nine hundred ninety-six million, three hundred thirty-five thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 181 234 312 362 468 543 724 936 1086 1448 1629 2172 2353 3258 4344 4706 5881 6516 7059 9412 11762 13032 14118 17643 18824 21177 23524 28236 35286 42354 47048 52929 56472 70572 76453 84708 105858 141144 152906 169416 211716 229359 305812 423432 458718 611624 688077 917436 1064461 1376154 1834872 2128922 2752308 3193383 4257844 5504616 6386766 8515688 9580149 12773532 13837993 19160298 25547064 27675986 38320596 41513979 55351972 76641192 83027958 110703944 124541937 166055916 249083874 332111832 498167748 996335496