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1482488064 = 28321036247
BaseRepresentation
bin101100001011100…
…1111100100000000
310211022120012022100
41120113033210000
511014004104224
6403034510400
751510640431
oct13027174400
93738505270
101482488064
116a090a252
12354595400
131a81a0495
14100c65488
158a23aac9
hex585cf900

1482488064 has 108 divisors (see below), whose sum is σ = 4316568256. Its totient is φ = 489286656.

The previous prime is 1482488047. The next prime is 1482488083. The reversal of 1482488064 is 4608842841.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 234189 + ... + 240435.

Almost surely, 21482488064 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 1482488064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158284128).

1482488064 is an abundant number, since it is smaller than the sum of its proper divisors (2834080192).

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

1482488064 is a wasteful number, since it uses less digits than its factorization.

1482488064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6372 (or 6355 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 1482488064 is about 38503.0916161287. The cubic root of 1482488064 is about 1140.2420907835.

The spelling of 1482488064 in words is "one billion, four hundred eighty-two million, four hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 128 144 192 206 256 288 309 384 412 576 618 768 824 927 1152 1236 1648 1854 2304 2472 3296 3708 4944 6247 6592 7416 9888 12494 13184 14832 18741 19776 24988 26368 29664 37482 39552 49976 56223 59328 74964 79104 99952 112446 118656 149928 199904 224892 237312 299856 399808 449784 599712 643441 799616 899568 1199424 1286882 1599232 1799136 1930323 2398848 2573764 3598272 3860646 4797696 5147528 5790969 7196544 7721292 10295056 11581938 14393088 15442584 20590112 23163876 30885168 41180224 46327752 61770336 82360448 92655504 123540672 164720896 185311008 247081344 370622016 494162688 741244032 1482488064