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804494880 = 25325779811
BaseRepresentation
bin101111111100111…
…001111000100000
32002001210120111200
4233330321320200
53121422314010
6211455041200
725636044060
oct5774717040
92061716450
10804494880
11383130a02
121a5510200
13ca897a97
1478bb93a0
154a963cc0
hex2ff39e20

804494880 has 144 divisors (see below), whose sum is σ = 3137569344. Its totient is φ = 183882240.

The previous prime is 804494879. The next prime is 804494881. The reversal of 804494880 is 88494408.

804494880 is a `hidden beast` number, since 80 + 4 + 494 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (804494879) and next prime (804494881).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (804494881) by changing a digit.

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, 29826 + ... + 49985.

It is an arithmetic number, because the mean of its divisors is an integer number (21788676).

Almost surely, 2804494880 is an apocalyptic number.

804494880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

804494880 is an abundant number, since it is smaller than the sum of its proper divisors (2333074464).

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

804494880 is a wasteful number, since it uses less digits than its factorization.

804494880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79839 (or 79828 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 804494880 is about 28363.6189510436. The cubic root of 804494880 is about 930.0531360552.

The spelling of 804494880 in words is "eight hundred four million, four hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 79811 159622 239433 319244 399055 478866 558677 638488 718299 798110 957732 1117354 1197165 1276976 1436598 1596220 1676031 1915464 2234708 2394330 2553952 2793385 2873196 3192440 3352062 3591495 3830928 4469416 4788660 5028093 5586770 5746392 6384880 6704124 7182990 7661856 8380155 8938832 9577320 10056186 11173540 11492784 12769760 13408248 14365980 16760310 17877664 19154640 20112372 22347080 22985568 25140465 26816496 28731960 33520620 38309280 40224744 44694160 50280930 53632992 57463920 67041240 80449488 89388320 100561860 114927840 134082480 160898976 201123720 268164960 402247440 804494880