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1429800008 = 2372131914767
BaseRepresentation
bin101010100111001…
…0000010001001000
310200122102100212212
41111032100101020
510412012100013
6353513324252
750301046100
oct12516202110
93618370785
101429800008
116740a29aa
1233aa06688
1319a2b3710
14d7c6c200
15857ce6a8
hex55390448

1429800008 has 96 divisors (see below), whose sum is σ = 3535459200. Its totient is φ = 535828608.

The previous prime is 1429800007. The next prime is 1429800013. The reversal of 1429800008 is 8000089241.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1429800007) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 89441 + ... + 104207.

It is an arithmetic number, because the mean of its divisors is an integer number (36827700).

Almost surely, 21429800008 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 1429800008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767729600).

1429800008 is an abundant number, since it is smaller than the sum of its proper divisors (2105659192).

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

1429800008 is a wasteful number, since it uses less digits than its factorization.

1429800008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14819 (or 14808 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 1429800008 is about 37812.6963862669. The cubic root of 1429800008 is about 1126.5706477621.

Adding to 1429800008 its reverse (8000089241), we get a palindrome (9429889249).

The spelling of 1429800008 in words is "one billion, four hundred twenty-nine million, eight hundred thousand, eight".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 49 52 56 76 91 98 104 133 152 182 196 247 266 364 392 494 532 637 728 931 988 1064 1274 1729 1862 1976 2548 3458 3724 5096 6916 7448 12103 13832 14767 24206 29534 48412 59068 96824 103369 118136 191971 206738 280573 383942 413476 561146 723583 767884 826952 1122292 1343797 1447166 1535768 1964011 2244584 2687594 2894332 3647449 3928022 5375188 5788664 7294898 7856044 9406579 10750376 13748077 14589796 15712088 18813158 25532143 27496154 29179592 37626316 51064286 54992308 75252632 102128572 109984616 178725001 204257144 357450002 714900004 1429800008