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804048036 = 2231137193853
BaseRepresentation
bin101111111011001…
…100110010100100
32002000221212112220
4233323030302210
53121314014121
6211441312340
725632203241
oct5773146244
92060855486
10804048036
11382956210
121a53356b0
13ca76c58c
1478b005c8
154a8c66c6
hex2feccca4

804048036 has 96 divisors (see below), whose sum is σ = 2115351168. Its totient is φ = 235560960.

The previous prime is 804048019. The next prime is 804048041. The reversal of 804048036 is 630840408.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 804047988 and 804048006.

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 31 ways as a sum of consecutive naturals, for example, 942186 + ... + 943038.

It is an arithmetic number, because the mean of its divisors is an integer number (22034908).

Almost surely, 2804048036 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 804048036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057675584).

804048036 is an abundant number, since it is smaller than the sum of its proper divisors (1311303132).

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

804048036 is a wasteful number, since it uses less digits than its factorization.

804048036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 804048036 is about 28355.7407944141. The cubic root of 804048036 is about 929.8809097131.

The spelling of 804048036 in words is "eight hundred four million, forty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 193 222 386 407 444 579 772 814 853 1158 1221 1628 1706 2123 2316 2442 2559 3412 4246 4884 5118 6369 7141 8492 9383 10236 12738 14282 18766 21423 25476 28149 28564 31561 37532 42846 56298 63122 78551 85692 94683 112596 126244 157102 164629 189366 235653 314204 329258 347171 378732 471306 493887 658516 694342 942612 987774 1041513 1388684 1810919 1975548 2083026 3621838 4166052 5432757 6091273 7243676 10865514 12182546 18273819 21731028 24365092 36547638 67004003 73095276 134008006 201012009 268016012 402024018 804048036