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1485467328 = 26323359937
BaseRepresentation
bin101100010001010…
…0110111011000000
310211112011120002110
41120202212323000
511020234423303
6403222415320
751545156352
oct13042467300
93745146073
101485467328
116a2564654
12355591540
131a89a4567
141013dd0d2
158a628703
hex588a6ec0

1485467328 has 112 divisors (see below), whose sum is σ = 4116994560. Its totient is φ = 471803904.

The previous prime is 1485467323. The next prime is 1485467359. The reversal of 1485467328 is 8237645841.

It is a super-2 number, since 2×14854673282 = 4413226365110919168, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1485467323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1584876 + ... + 1585812.

It is an arithmetic number, because the mean of its divisors is an integer number (36758880).

Almost surely, 21485467328 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 1485467328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058497280).

1485467328 is an abundant number, since it is smaller than the sum of its proper divisors (2631527232).

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

1485467328 is a wasteful number, since it uses less digits than its factorization.

1485467328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1324 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 1485467328 is about 38541.7608315967. The cubic root of 1485467328 is about 1141.0054042062.

The spelling of 1485467328 in words is "one billion, four hundred eighty-five million, four hundred sixty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 359 368 552 718 736 937 1077 1104 1436 1472 1874 2154 2208 2811 2872 3748 4308 4416 5622 5744 7496 8257 8616 11244 11488 14992 16514 17232 21551 22488 22976 24771 29984 33028 34464 43102 44976 49542 59968 64653 66056 68928 86204 89952 99084 129306 132112 172408 179904 198168 258612 264224 336383 344816 396336 517224 528448 672766 689632 792672 1009149 1034448 1345532 1379264 1585344 2018298 2068896 2691064 4036596 4137792 5382128 7736809 8073192 10764256 15473618 16146384 21528512 23210427 30947236 32292768 46420854 61894472 64585536 92841708 123788944 185683416 247577888 371366832 495155776 742733664 1485467328