Base | Representation |
---|---|
bin | 10010010000011… |
… | …01010111011100 |
3 | 101200011122222100 |
4 | 21020031113130 |
5 | 303201144334 |
6 | 23110245100 |
7 | 3536504154 |
oct | 1110152734 |
9 | 350148870 |
10 | 153146844 |
11 | 794a1544 |
12 | 43356790 |
13 | 25961346 |
14 | 164a7764 |
15 | d6a1c99 |
hex | 920d5dc |
153146844 has 36 divisors (see below), whose sum is σ = 393473080. Its totient is φ = 50211360.
The previous prime is 153146843. The next prime is 153146867. The reversal of 153146844 is 448641351.
153146844 is a `hidden beast` number, since 1 + 531 + 46 + 84 + 4 = 666.
153146844 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (36).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 153146799 and 153146808.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (153146843) 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 11 ways as a sum of consecutive naturals, for example, 32674 + ... + 37065.
Almost surely, 2153146844 is an apocalyptic number.
It is an amenable number.
153146844 is an abundant number, since it is smaller than the sum of its proper divisors (240326236).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
153146844 is a wasteful number, since it uses less digits than its factorization.
153146844 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 69810 (or 69805 counting only the distinct ones).
The product of its digits is 46080, while the sum is 36.
The square root of 153146844 is about 12375.2512701763. The cubic root of 153146844 is about 535.0191788623.
The spelling of 153146844 in words is "one hundred fifty-three million, one hundred forty-six thousand, eight hundred forty-four".
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