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1463060512 = 25378771409
BaseRepresentation
bin101011100110100…
…1000100000100000
310202222000011201101
41113031020200200
510444020414022
6401102244144
751153544354
oct12715104040
93688004641
101463060512
11690950021
12349b86654
131a415a7a4
14dc449464
158869e627
hex57348820

1463060512 has 48 divisors (see below), whose sum is σ = 2963724120. Its totient is φ = 710443008.

The previous prime is 1463060479. The next prime is 1463060569. The reversal of 1463060512 is 2150603641.

It can be written as a sum of positive squares in 4 ways, for example, as 1324668816 + 138391696 = 36396^2 + 11764^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1037664 + ... + 1039072.

Almost surely, 21463060512 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 1463060512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481862060).

1463060512 is an abundant number, since it is smaller than the sum of its proper divisors (1500663608).

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

1463060512 is a wasteful number, since it uses less digits than its factorization.

1463060512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 1463060512 is about 38249.9740130631. The cubic root of 1463060512 is about 1135.2393324013.

The spelling of 1463060512 in words is "one billion, four hundred sixty-three million, sixty thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 877 1184 1409 1754 2818 3508 5636 7016 11272 14032 22544 28064 32449 45088 52133 64898 104266 129796 208532 259592 417064 519184 834128 1038368 1235693 1668256 2471386 4942772 9885544 19771088 39542176 45720641 91441282 182882564 365765128 731530256 1463060512