Base | Representation |
---|---|
bin | 100110010010101… |
… | …110100110010110 |
3 | 1122202212112001000 |
4 | 212102232212112 |
5 | 2303431144140 |
6 | 143425444130 |
7 | 21630452421 |
oct | 4622564626 |
9 | 1582775030 |
10 | 642443670 |
11 | 2aa708490 |
12 | 15b1a0646 |
13 | a31397ab |
14 | 614749b8 |
15 | 3b603a30 |
hex | 264ae996 |
642443670 has 128 divisors (see below), whose sum is σ = 1933632000. Its totient is φ = 150353280.
The previous prime is 642443653. The next prime is 642443671. The reversal of 642443670 is 76344246.
642443670 is a `hidden beast` number, since 642 + 4 + 4 + 3 + 6 + 7 + 0 = 666.
642443670 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (642443671) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82401 + ... + 89859.
It is an arithmetic number, because the mean of its divisors is an integer number (15106500).
Almost surely, 2642443670 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 642443670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966816000).
642443670 is an abundant number, since it is smaller than the sum of its proper divisors (1291188330).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
642443670 is a wasteful number, since it uses less digits than its factorization.
642443670 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7515 (or 7509 counting only the distinct ones).
The product of its (nonzero) digits is 96768, while the sum is 36.
The square root of 642443670 is about 25346.4725356409. The cubic root of 642443670 is about 862.8693012090.
The spelling of 642443670 in words is "six hundred forty-two million, four hundred forty-three thousand, six hundred seventy".
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