Base | Representation |
---|---|
bin | 111111011101111… |
… | …111111001010000 |
3 | 2202012122220002110 |
4 | 333131333321100 |
5 | 4140044002441 |
6 | 253354545320 |
7 | 35246615154 |
oct | 7735777120 |
9 | 2665586073 |
10 | 1064828496 |
11 | 4a7082456 |
12 | 258738240 |
13 | 13c7b7b44 |
14 | a15c5064 |
15 | 63739b16 |
hex | 3f77fe50 |
1064828496 has 80 divisors (see below), whose sum is σ = 2853388800. Its totient is φ = 341773824.
The previous prime is 1064828483. The next prime is 1064828549. The reversal of 1064828496 is 6948284601.
It is a super-3 number, since 3×10648284963 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 665970 + ... + 667566.
It is an arithmetic number, because the mean of its divisors is an integer number (35667360).
Almost surely, 21064828496 is an apocalyptic number.
1064828496 is a gapful number since it is divisible by the number (16) 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 1064828496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426694400).
1064828496 is an abundant number, since it is smaller than the sum of its proper divisors (1788560304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1064828496 is a wasteful number, since it uses less digits than its factorization.
1064828496 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2116 (or 2110 counting only the distinct ones).
The product of its (nonzero) digits is 663552, while the sum is 48.
The square root of 1064828496 is about 32631.7099766469. The cubic root of 1064828496 is about 1021.1586525915.
The spelling of 1064828496 in words is "one billion, sixty-four million, eight hundred twenty-eight thousand, four hundred ninety-six".
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