Base | Representation |
---|---|
bin | 1011111101000010… |
… | …1001101000000000 |
3 | 22021121221121000000 |
4 | 2333100221220000 |
5 | 23032424004211 |
6 | 1250224000000 |
7 | 142342314051 |
oct | 27720515000 |
9 | 8247847000 |
10 | 3208813056 |
11 | 13a7322819 |
12 | 756760000 |
13 | 3c1a36067 |
14 | 226240728 |
15 | 13ba8e656 |
hex | bf429a00 |
3208813056 has 140 divisors (see below), whose sum is σ = 9613759122. Its totient is φ = 1069479936.
The previous prime is 3208813051. The next prime is 3208813061. The reversal of 3208813056 is 6503188023.
It is an interprime number because it is at equal distance from previous prime (3208813051) and next prime (3208813061).
It can be written as a sum of positive squares in only one way, i.e., 2468102400 + 740710656 = 49680^2 + 27216^2 .
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 3208813056.
It is not an unprimeable number, because it can be changed into a prime (3208813051) 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 13 ways as a sum of consecutive naturals, for example, 368950 + ... + 377546.
Almost surely, 23208813056 is an apocalyptic number.
3208813056 is a gapful number since it is divisible by the number (36) 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 3208813056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4806879561).
3208813056 is an abundant number, since it is smaller than the sum of its proper divisors (6404946066).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3208813056 is an frugal number, since it uses more digits than its factorization.
3208813056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8633 (or 8602 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 36.
The square root of 3208813056 is about 56646.3860806671. The cubic root of 3208813056 is about 1474.9641750947.
The spelling of 3208813056 in words is "three billion, two hundred eight million, eight hundred thirteen thousand, fifty-six".
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