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1045487556 = 22321723172
BaseRepresentation
bin111110010100001…
…101111111000100
32200212021021022100
4332110031333010
54120121100211
6251424232100
734623332451
oct7624157704
92625237270
101045487556
11497172303
1225216b630
131387a56b9
149cbcc828
1561bb9156
hex3e50dfc4

1045487556 has 81 divisors (see below), whose sum is σ = 2816245159. Its totient is φ = 326961408.

The previous prime is 1045487549. The next prime is 1045487557. The reversal of 1045487556 is 6557845401.

The square root of 1045487556 is 32334.

It is a perfect power (a square), and thus also a powerful number.

1045487556 is a `hidden beast` number, since 10 + 4 + 5 + 4 + 87 + 556 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64545156 + 980942400 = 8034^2 + 31320^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1045487557) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 3297910 + ... + 3298226.

Almost surely, 21045487556 is an apocalyptic number.

1045487556 is the 32334-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045487556

1045487556 is an abundant number, since it is smaller than the sum of its proper divisors (1770757603).

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

1045487556 is a wasteful number, since it uses less digits than its factorization.

1045487556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The cubic root of 1045487556 is about 1014.9382560094.

It can be divided in two parts, 1045 and 487556, that added together give a square (488601 = 6992).

The spelling of 1045487556 in words is "one billion, forty-five million, four hundred eighty-seven thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 317 578 612 634 867 951 1156 1268 1734 1902 2601 2853 3468 3804 5202 5389 5706 10404 10778 11412 16167 21556 32334 48501 64668 91613 97002 100489 183226 194004 200978 274839 301467 366452 401956 549678 602934 824517 904401 1099356 1205868 1649034 1708313 1808802 3298068 3416626 3617604 5124939 6833252 10249878 15374817 20499756 29041321 30749634 58082642 61499268 87123963 116165284 174247926 261371889 348495852 522743778 1045487556