Base | Representation |
---|---|
bin | 111001101010001… |
… | …111011100110010 |
3 | 2111102021201112110 |
4 | 321222033130302 |
5 | 3440121442032 |
6 | 235554110150 |
7 | 32654356143 |
oct | 7152173462 |
9 | 2442251473 |
10 | 967374642 |
11 | 45706a983 |
12 | 22bb7b356 |
13 | 125556240 |
14 | 92697aca |
15 | 59dd97cc |
hex | 39a8f732 |
967374642 has 64 divisors (see below), whose sum is σ = 2118372480. Its totient is φ = 292723200.
The previous prime is 967374631. The next prime is 967374643. The reversal of 967374642 is 246473769.
It is a junction number, because it is equal to n+sod(n) for n = 967374591 and 967374600.
It is not an unprimeable number, because it can be changed into a prime (967374643) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2297592 + ... + 2298012.
It is an arithmetic number, because the mean of its divisors is an integer number (33099570).
Almost surely, 2967374642 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 967374642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059186240).
967374642 is an abundant number, since it is smaller than the sum of its proper divisors (1150997838).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
967374642 is a wasteful number, since it uses less digits than its factorization.
967374642 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 859.
The product of its digits is 1524096, while the sum is 48.
The square root of 967374642 is about 31102.6468648570. The cubic root of 967374642 is about 989.0044210420.
The spelling of 967374642 in words is "nine hundred sixty-seven million, three hundred seventy-four thousand, six hundred forty-two".
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