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1459428642 = 2327433769
BaseRepresentation
bin101011011111101…
…0001110100100010
310202201011122201200
41112333101310202
510442103204032
6400452342030
751110640000
oct12677216442
93681148650
101459428642
1168989a381
12348914916
131a3488659
14dbb81a70
15881d347c
hex56fd1d22

1459428642 has 60 divisors (see below), whose sum is σ = 3689001030. Its totient is φ = 416967264.

The previous prime is 1459428611. The next prime is 1459428653. The reversal of 1459428642 is 2468249541.

It is a happy number.

1459428642 is a `hidden beast` number, since 14 + 594 + 2 + 8 + 6 + 42 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1017546201 + 441882441 = 31899^2 + 21021^2 .

It is a super-2 number, since 2×14594286422 = 4259863922179928328, which contains 22 as substring.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 26334 + ... + 60102.

Almost surely, 21459428642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1459428642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844500515).

1459428642 is an abundant number, since it is smaller than the sum of its proper divisors (2229572388).

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

1459428642 is an equidigital number, since it uses as much as digits as its factorization.

1459428642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33805 (or 33781 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 1459428642 is about 38202.4690563319. The cubic root of 1459428642 is about 1134.2991894605.

The spelling of 1459428642 in words is "one billion, four hundred fifty-nine million, four hundred twenty-eight thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1029 2058 2401 3087 4802 6174 7203 14406 21609 33769 43218 67538 101307 202614 236383 303921 472766 607842 709149 1418298 1654681 2127447 3309362 4254894 4964043 9928086 11582767 14892129 23165534 29784258 34748301 69496602 81079369 104244903 162158738 208489806 243238107 486476214 729714321 1459428642