Base | Representation |
---|---|
bin | 1111110011010111… |
… | …1101100000110100 |
3 | 101221122002010120000 |
4 | 3330311331200310 |
5 | 32141423112040 |
6 | 1540532511300 |
7 | 210056303442 |
oct | 37465754064 |
9 | 11848063500 |
10 | 4242004020 |
11 | 1887556451 |
12 | 9a477b530 |
13 | 527ac4767 |
14 | 2c354bb92 |
15 | 19c62a130 |
hex | fcd7d834 |
4242004020 has 60 divisors (see below), whose sum is σ = 13307328804. Its totient is φ = 1131200640.
The previous prime is 4242004001. The next prime is 4242004073. The reversal of 4242004020 is 204002424.
4242004020 is a `hidden beast` number, since 424 + 200 + 40 + 2 + 0 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 2153331216 + 2088672804 = 46404^2 + 45702^2 .
It is a tau number, because it is divible by the number of its divisors (60).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 4242003984 and 4242004002.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1307641 + ... + 1310880.
Almost surely, 24242004020 is an apocalyptic number.
It is an amenable number.
4242004020 is an abundant number, since it is smaller than the sum of its proper divisors (9065324784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4242004020 is a wasteful number, since it uses less digits than its factorization.
4242004020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2618542 (or 2618531 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 18.
The square root of 4242004020 is about 65130.6688127797. The cubic root of 4242004020 is about 1618.7894248186.
Adding to 4242004020 its reverse (204002424), we get a palindrome (4446006444).
The spelling of 4242004020 in words is "four billion, two hundred forty-two million, four thousand, twenty".
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