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5809104 = 2433717113
BaseRepresentation
bin10110001010001111010000
3101221010121000
4112022033100
52441342404
6324302000
7100243110
oct26121720
911833530
105809104
113308514
121b41900
131285152
14ab3040
1579b339
hex58a3d0

5809104 has 160 divisors (see below), whose sum is σ = 20355840. Its totient is φ = 1548288.

The previous prime is 5809103. The next prime is 5809109. The reversal of 5809104 is 4019085.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5809103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51352 + ... + 51464.

It is an arithmetic number, because the mean of its divisors is an integer number (127224).

Almost surely, 25809104 is an apocalyptic number.

5809104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5809104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10177920).

5809104 is an abundant number, since it is smaller than the sum of its proper divisors (14546736).

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

5809104 is a wasteful number, since it uses less digits than its factorization.

5809104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5809104 is about 2410.2082897542. The cubic root of 5809104 is about 179.7641355125.

The spelling of 5809104 in words is "five million, eight hundred nine thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 84 102 108 112 113 119 126 136 144 153 168 189 204 216 226 238 252 272 306 336 339 357 378 408 432 452 459 476 504 612 678 714 756 791 816 904 918 952 1008 1017 1071 1224 1356 1428 1512 1582 1808 1836 1904 1921 2034 2142 2373 2448 2712 2856 3024 3051 3164 3213 3672 3842 4068 4284 4746 5424 5712 5763 6102 6328 6426 7119 7344 7684 8136 8568 9492 11526 12204 12656 12852 13447 14238 15368 16272 17136 17289 18984 21357 23052 24408 25704 26894 28476 30736 34578 37968 40341 42714 46104 48816 51408 51867 53788 56952 69156 80682 85428 92208 103734 107576 113904 121023 138312 161364 170856 207468 215152 242046 276624 322728 341712 363069 414936 484092 645456 726138 829872 968184 1452276 1936368 2904552 5809104