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1066000488 = 233723724499
BaseRepresentation
bin111111100010011…
…110000001101000
32202021212102202120
4333202132001220
54140344003423
6253440031240
735262566100
oct7742360150
92667772676
101066000488
114a7802a43
12259002520
1313cb08427
14a180c200
15638bbee3
hex3f89e068

1066000488 has 96 divisors (see below), whose sum is σ = 3184020000. Its totient is φ = 296327808.

The previous prime is 1066000477. The next prime is 1066000513. The reversal of 1066000488 is 8840006601.

1066000488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10660004882 = 2272714080832476288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31263 + ... + 55761.

It is an arithmetic number, because the mean of its divisors is an integer number (33166875).

Almost surely, 21066000488 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 1066000488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592010000).

1066000488 is an abundant number, since it is smaller than the sum of its proper divisors (2118019512).

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

1066000488 is a wasteful number, since it uses less digits than its factorization.

1066000488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24559 (or 24548 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1066000488 is about 32649.6629079076. The cubic root of 1066000488 is about 1021.5331576460.

The spelling of 1066000488 in words is "one billion, sixty-six million, four hundred eighty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 49 56 74 84 98 111 147 148 168 196 222 259 294 296 392 444 518 588 777 888 1036 1176 1554 1813 2072 3108 3626 5439 6216 7252 10878 14504 21756 24499 43512 48998 73497 97996 146994 171493 195992 293988 342986 514479 587976 685972 906463 1028958 1200451 1371944 1812926 2057916 2400902 2719389 3601353 3625852 4115832 4801804 5438778 6345241 7202706 7251704 9603608 10877556 12690482 14405412 19035723 21755112 25380964 28810824 38071446 44416687 50761928 76142892 88833374 133250061 152285784 177666748 266500122 355333496 533000244 1066000488