Search a number
-
+
1429982568 = 2332716131759
BaseRepresentation
bin101010100111011…
…1100110101101000
310200122202122022100
41111032330311220
510412033420233
6353521253400
750302436250
oct12516746550
93618678270
101429982568
11674208083
1233aa94260
1319a348841
14d7cb8960
1585818813
hex553bcd68

1429982568 has 96 divisors (see below), whose sum is σ = 4431398400. Its totient is φ = 408081024.

The previous prime is 1429982563. The next prime is 1429982581. The reversal of 1429982568 is 8652899241.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1429982563) 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 23 ways as a sum of consecutive naturals, for example, 812073 + ... + 813831.

It is an arithmetic number, because the mean of its divisors is an integer number (46160400).

Almost surely, 21429982568 is an apocalyptic number.

1429982568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1429982568 is an abundant number, since it is smaller than the sum of its proper divisors (3001415832).

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

1429982568 is a wasteful number, since it uses less digits than its factorization.

1429982568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391 (or 3384 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 1429982568 is about 37815.1103132068. The cubic root of 1429982568 is about 1126.6185933917.

The spelling of 1429982568 in words is "one billion, four hundred twenty-nine million, nine hundred eighty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1613 1759 3226 3518 4839 5277 6452 7036 9678 10554 11291 12313 12904 14072 14517 15831 19356 21108 22582 24626 29034 31662 33873 36939 38712 42216 45164 49252 58068 63324 67746 73878 90328 98504 101619 110817 116136 126648 135492 147756 203238 221634 270984 295512 406476 443268 812952 886536 2837267 5674534 8511801 11349068 17023602 19860869 22698136 25535403 34047204 39721738 51070806 59582607 68094408 79443476 102141612 119165214 158886952 178747821 204283224 238330428 357495642 476660856 714991284 1429982568