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999808096 = 257139163197
BaseRepresentation
bin111011100101111…
…101110001100000
32120200022111212111
4323211331301200
54021422324341
6243113205104
733530141260
oct7345756140
92520274774
10999808096
11473402691
1223aa00794
1312c1a0a31
1496adb7a0
155cb94681
hex3b97dc60

999808096 has 96 divisors (see below), whose sum is σ = 2291224320. Its totient is φ = 420650496.

The previous prime is 999808057. The next prime is 999808169. The reversal of 999808096 is 690808999.

It is a self number, because there is not a number n which added to its sum of digits gives 999808096.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5075070 + ... + 5075266.

It is an arithmetic number, because the mean of its divisors is an integer number (23866920).

Almost surely, 2999808096 is an apocalyptic number.

999808096 is the 18256-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 999808096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145612160).

999808096 is an abundant number, since it is smaller than the sum of its proper divisors (1291416224).

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

999808096 is a wasteful number, since it uses less digits than its factorization.

999808096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 58.

The square root of 999808096 is about 31619.7421874373. The cubic root of 999808096 is about 999.9360279077.

The spelling of 999808096 in words is "nine hundred ninety-nine million, eight hundred eight thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 139 163 197 224 278 326 394 556 652 788 973 1112 1141 1304 1379 1576 1946 2224 2282 2608 2758 3152 3892 4448 4564 5216 5516 6304 7784 9128 11032 15568 18256 22064 22657 27383 31136 32111 36512 44128 45314 54766 64222 90628 109532 128444 158599 181256 191681 219064 224777 256888 317198 362512 383362 438128 449554 513776 634396 725024 766724 876256 899108 1027552 1268792 1533448 1798216 2537584 3066896 3596432 4463429 5075168 6133792 7192864 8926858 17853716 31244003 35707432 62488006 71414864 124976012 142829728 249952024 499904048 999808096