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804068832 = 2537324419
BaseRepresentation
bin101111111011010…
…001110111100000
32002000222221002010
4233323101313200
53121320200312
6211441552520
725632321000
oct5773216740
92060887063
10804068832
1138296a8a6
121a5345740
13ca778b98
1478b08000
154a8cc93c
hex2fed1de0

804068832 has 96 divisors (see below), whose sum is σ = 2461536000. Its totient is φ = 229724544.

The previous prime is 804068831. The next prime is 804068849. The reversal of 804068832 is 238860408.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804068831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20719 + ... + 45137.

It is an arithmetic number, because the mean of its divisors is an integer number (25641000).

Almost surely, 2804068832 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 804068832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230768000).

804068832 is an abundant number, since it is smaller than the sum of its proper divisors (1657467168).

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

804068832 is a wasteful number, since it uses less digits than its factorization.

804068832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24453 (or 24431 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 804068832 is about 28356.1074902745. The cubic root of 804068832 is about 929.8889264964. Note that the first 3 decimals are identical.

The spelling of 804068832 in words is "eight hundred four million, sixty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 343 392 588 672 686 784 1029 1176 1372 1568 2058 2352 2744 4116 4704 5488 8232 10976 16464 24419 32928 48838 73257 97676 146514 170933 195352 293028 341866 390704 512799 586056 683732 781408 1025598 1172112 1196531 1367464 2051196 2344224 2393062 2734928 3589593 4102392 4786124 5469856 7179186 8204784 8375717 9572248 14358372 16409568 16751434 19144496 25127151 28716744 33502868 38288992 50254302 57433488 67005736 100508604 114866976 134011472 201017208 268022944 402034416 804068832