Base | Representation |
---|---|
bin | 111101010111000… |
… | …100001101100010 |
3 | 2122202002211011100 |
4 | 331113010031202 |
5 | 4102020103423 |
6 | 250052455230 |
7 | 34340144412 |
oct | 7527041542 |
9 | 2582084140 |
10 | 1029456738 |
11 | 4891130a2 |
12 | 24891a516 |
13 | 135381acb |
14 | 9aa18642 |
15 | 6059e343 |
hex | 3d5c4362 |
1029456738 has 12 divisors (see below), whose sum is σ = 2230489638. Its totient is φ = 343152240.
The previous prime is 1029456733. The next prime is 1029456739. The reversal of 1029456738 is 8376549201.
1029456738 is digitally balanced in base 2 and base 10, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 952771689 + 76685049 = 30867^2 + 8757^2 .
1029456738 is strictly pandigital in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 1029456693 and 1029456702.
It is not an unprimeable number, because it can be changed into a prime (1029456733) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28596003 + ... + 28596038.
It is a 2-persistent number, because it is pandigital, and so is 2⋅1029456738 = 2058913476, but 3⋅1029456738 = 3088370214 is not.
Almost surely, 21029456738 is an apocalyptic number.
1029456738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
1029456738 is an abundant number, since it is smaller than the sum of its proper divisors (1201032900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1029456738 is a wasteful number, since it uses less digits than its factorization.
1029456738 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 57192049 (or 57192046 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 1029456738 is about 32085.1482465018. The cubic root of 1029456738 is about 1009.7240490441.
The spelling of 1029456738 in words is "one billion, twenty-nine million, four hundred fifty-six thousand, seven hundred thirty-eight".
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