Base | Representation |
---|---|
bin | 100000010011111… |
… | …110101100100000 |
3 | 1101210001221222200 |
4 | 200103332230200 |
5 | 2102234432243 |
6 | 125443133200 |
7 | 16301563050 |
oct | 4023765440 |
9 | 1353057880 |
10 | 542108448 |
11 | 259008112 |
12 | 131674200 |
13 | 8840953b |
14 | 51dd7560 |
15 | 328d4ad3 |
hex | 204feb20 |
542108448 has 144 divisors (see below), whose sum is σ = 1778736960. Its totient is φ = 153404928.
The previous prime is 542108447. The next prime is 542108449. The reversal of 542108448 is 844801245.
542108448 is a `hidden beast` number, since 542 + 108 + 4 + 4 + 8 = 666.
It is an interprime number because it is at equal distance from previous prime (542108447) and next prime (542108449).
It is a tau number, because it is divible by the number of its divisors (144).
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 (542108447) 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 23 ways as a sum of consecutive naturals, for example, 218511 + ... + 220977.
It is an arithmetic number, because the mean of its divisors is an integer number (12352340).
Almost surely, 2542108448 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 542108448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889368480).
542108448 is an abundant number, since it is smaller than the sum of its proper divisors (1236628512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
542108448 is a wasteful number, since it uses less digits than its factorization.
542108448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2599 (or 2588 counting only the distinct ones).
The product of its (nonzero) digits is 40960, while the sum is 36.
The square root of 542108448 is about 23283.2224573833. Note that the first 3 decimals coincide. The cubic root of 542108448 is about 815.3837619584.
The spelling of 542108448 in words is "five hundred forty-two million, one hundred eight thousand, four hundred forty-eight".
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