Base | Representation |
---|---|
bin | 111101010011000… |
… | …010100101010000 |
3 | 2122200010012122000 |
4 | 331103002211100 |
5 | 4101232321423 |
6 | 250014114000 |
7 | 34325161032 |
oct | 7523024520 |
9 | 2580105560 |
10 | 1028401488 |
11 | 488562294 |
12 | 2484ab900 |
13 | 1350a26ba |
14 | 9a821c52 |
15 | 60441843 |
hex | 3d4c2950 |
1028401488 has 80 divisors (see below), whose sum is σ = 2993558400. Its totient is φ = 337962240.
The previous prime is 1028401487. The next prime is 1028401489. The reversal of 1028401488 is 8841048201.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (1028401487) and next prime (1028401489).
It is a super-2 number, since 2×10284014882 = 2115219241041228288, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1028401487) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13908 + ... + 47436.
It is an arithmetic number, because the mean of its divisors is an integer number (37419480).
Almost surely, 21028401488 is an apocalyptic number.
1028401488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1028401488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496779200).
1028401488 is an abundant number, since it is smaller than the sum of its proper divisors (1965156912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1028401488 is a wasteful number, since it uses less digits than its factorization.
1028401488 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 33617 (or 33605 counting only the distinct ones).
The product of its (nonzero) digits is 16384, while the sum is 36.
The square root of 1028401488 is about 32068.6995059045. The cubic root of 1028401488 is about 1009.3789234582.
Adding to 1028401488 its reverse (8841048201), we get a palindrome (9869449689).
The spelling of 1028401488 in words is "one billion, twenty-eight million, four hundred one thousand, four hundred eighty-eight".
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