Base | Representation |
---|---|
bin | 101101101100100… |
… | …1001011110010000 |
3 | 10221212012200022200 |
4 | 1123121021132100 |
5 | 11120012202211 |
6 | 412052203200 |
7 | 52665665643 |
oct | 13331113620 |
9 | 3855180280 |
10 | 1533319056 |
11 | 717578335 |
12 | 369609500 |
13 | 1b5889ba9 |
14 | 1078d7a5a |
15 | 8e92bb56 |
hex | 5b649790 |
1533319056 has 120 divisors (see below), whose sum is σ = 4369954680. Its totient is φ = 501811200.
The previous prime is 1533319049. The next prime is 1533319087. The reversal of 1533319056 is 6509133351.
1533319056 is a `hidden beast` number, since 1 + 533 + 31 + 90 + 5 + 6 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 2944656 + 1530374400 = 1716^2 + 39120^2 .
It is a super-2 number, since 2×15333190562 = 4702134654985462272, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 1533319056.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2319366 + ... + 2320026.
It is an arithmetic number, because the mean of its divisors is an integer number (36416289).
Almost surely, 21533319056 is an apocalyptic number.
1533319056 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 1533319056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184977340).
1533319056 is an abundant number, since it is smaller than the sum of its proper divisors (2836635624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1533319056 is a wasteful number, since it uses less digits than its factorization.
1533319056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 945 (or 936 counting only the distinct ones).
The product of its (nonzero) digits is 36450, while the sum is 36.
The square root of 1533319056 is about 39157.6181093794. The cubic root of 1533319056 is about 1153.1279822692.
The spelling of 1533319056 in words is "one billion, five hundred thirty-three million, three hundred nineteen thousand, fifty-six".
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