Base | Representation |
---|---|
bin | 10001100110011… |
… | …01101000100000 |
3 | 101021211001000000 |
4 | 20303031220200 |
5 | 300244033122 |
6 | 22352300000 |
7 | 3441641544 |
oct | 1063155040 |
9 | 337731000 |
10 | 147642912 |
11 | 7638233a |
12 | 41541600 |
13 | 24785091 |
14 | 15873a24 |
15 | ce660ac |
hex | 8ccda20 |
147642912 has 84 divisors (see below), whose sum is σ = 435877470. Its totient is φ = 49206528.
The previous prime is 147642907. The next prime is 147642917. The reversal of 147642912 is 219246741.
It is a happy number.
147642912 is a `hidden beast` number, since 1 + 4 + 7 + 642 + 9 + 1 + 2 = 666.
It is an interprime number because it is at equal distance from previous prime (147642907) and next prime (147642917).
It can be written as a sum of positive squares in only one way, i.e., 109746576 + 37896336 = 10476^2 + 6156^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (147642917) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 20164 + ... + 26492.
Almost surely, 2147642912 is an apocalyptic number.
147642912 is a gapful number since it is divisible by the number (12) 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 147642912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217938735).
147642912 is an abundant number, since it is smaller than the sum of its proper divisors (288234558).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
147642912 is an frugal number, since it uses more digits than its factorization.
147642912 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6357 (or 6334 counting only the distinct ones).
The product of its digits is 24192, while the sum is 36.
The square root of 147642912 is about 12150.8399709650. The cubic root of 147642912 is about 528.5314896116.
The spelling of 147642912 in words is "one hundred forty-seven million, six hundred forty-two thousand, nine hundred twelve".
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