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805485792 = 25367125231
BaseRepresentation
bin110000000000101…
…011110011100000
32002010122220210010
4300000223303200
53122201021132
6211532204520
725650342036
oct6000536340
92063586703
10805485792
11383748441
121a5909740
13cab53b17
1478d96556
154aaac6cc
hex3002bce0

805485792 has 48 divisors (see below), whose sum is σ = 2145975552. Its totient is φ = 264485760.

The previous prime is 805485727. The next prime is 805485797. The reversal of 805485792 is 297584508.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×8054857923 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805485797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56184 + ... + 69047.

It is an arithmetic number, because the mean of its divisors is an integer number (44707824).

Almost surely, 2805485792 is an apocalyptic number.

It is an amenable number.

805485792 is an abundant number, since it is smaller than the sum of its proper divisors (1340489760).

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

805485792 is a wasteful number, since it uses less digits than its factorization.

805485792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125311 (or 125303 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The square root of 805485792 is about 28381.0815861552. The cubic root of 805485792 is about 930.4348342322.

The spelling of 805485792 in words is "eight hundred five million, four hundred eighty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 2144 3216 6432 125231 250462 375693 500924 751386 1001848 1502772 2003696 3005544 4007392 6011088 8390477 12022176 16780954 25171431 33561908 50342862 67123816 100685724 134247632 201371448 268495264 402742896 805485792