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830996096 = 2772472819
BaseRepresentation
bin110001100001111…
…111111010000000
32010220122222100012
4301201333322000
53200213333341
6214243044052
726410231100
oct6141777200
92126588305
10830996096
11397091737
121b2370628
13103216388
147c517200
154ce4b0eb
hex3187fe80

830996096 has 96 divisors (see below), whose sum is σ = 1967457600. Its totient is φ = 348440064.

The previous prime is 830996093. The next prime is 830996119. The reversal of 830996096 is 690699038.

830996096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (830996093) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 293375 + ... + 296193.

It is an arithmetic number, because the mean of its divisors is an integer number (20494350).

Almost surely, 2830996096 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 830996096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983728800).

830996096 is an abundant number, since it is smaller than the sum of its proper divisors (1136461504).

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

830996096 is a wasteful number, since it uses less digits than its factorization.

830996096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 50.

The square root of 830996096 is about 28827.0028965899. The cubic root of 830996096 is about 940.1554352892.

The spelling of 830996096 in words is "eight hundred thirty million, nine hundred ninety-six thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 49 56 64 94 98 112 128 188 196 224 329 376 392 448 658 752 784 896 1316 1504 1568 2303 2632 2819 3008 3136 4606 5264 5638 6016 6272 9212 10528 11276 18424 19733 21056 22552 36848 39466 42112 45104 73696 78932 90208 132493 138131 147392 157864 180416 264986 276262 294784 315728 360832 529972 552524 631456 927451 1059944 1105048 1262912 1854902 2119888 2210096 2525824 3709804 4239776 4420192 6492157 7419608 8479552 8840384 12984314 14839216 16959104 17680768 25968628 29678432 51937256 59356864 103874512 118713728 207749024 415498048 830996096