Base | Representation |
---|---|
bin | 1101000011001… |
… | …1000111110001 |
3 | 10210222211210000 |
4 | 3100303013301 |
5 | 103003012340 |
6 | 5233100213 |
7 | 1233146160 |
oct | 320630761 |
9 | 123884700 |
10 | 54735345 |
11 | 28995525 |
12 | 163b7669 |
13 | b4558a2 |
14 | 73ab3d7 |
15 | 4c12d30 |
hex | 34331f1 |
54735345 has 80 divisors (see below), whose sum is σ = 114998400. Its totient is φ = 24385536.
The previous prime is 54735341. The next prime is 54735353. The reversal of 54735345 is 54353745.
54735345 is a `hidden beast` number, since 54 + 73 + 534 + 5 = 666.
54735345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 54735345 - 22 = 54735341 is a prime.
It is not an unprimeable number, because it can be changed into a prime (54735341) 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 79 ways as a sum of consecutive naturals, for example, 121681 + ... + 122129.
It is an arithmetic number, because the mean of its divisors is an integer number (1437480).
Almost surely, 254735345 is an apocalyptic number.
It is an amenable number.
54735345 is an abundant number, since it is smaller than the sum of its proper divisors (60263055).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54735345 is a wasteful number, since it uses less digits than its factorization.
54735345 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 516 (or 507 counting only the distinct ones).
The product of its digits is 126000, while the sum is 36.
The square root of 54735345 is about 7398.3339340692. Note that the first 3 decimals coincide. The cubic root of 54735345 is about 379.6842830089.
The spelling of 54735345 in words is "fifty-four million, seven hundred thirty-five thousand, three hundred forty-five".
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