Base | Representation |
---|---|
bin | 1001000010011011… |
… | …1101011001000000 |
3 | 20021002012021110221 |
4 | 2100212331121000 |
5 | 14432042211112 |
6 | 1040424232424 |
7 | 114056532142 |
oct | 22046753100 |
9 | 6232167427 |
10 | 2426132032 |
11 | 10355409a5 |
12 | 57860b714 |
13 | 2c88381ac |
14 | 190302c92 |
15 | e2ed8e07 |
hex | 909bd640 |
2426132032 has 56 divisors (see below), whose sum is σ = 5065273080. Its totient is φ = 1151447040.
The previous prime is 2426132011. The next prime is 2426132053. The reversal of 2426132032 is 2302316242.
It is an interprime number because it is at equal distance from previous prime (2426132011) and next prime (2426132053).
It can be written as a sum of positive squares in 4 ways, for example, as 1005143616 + 1420988416 = 31704^2 + 37696^2 .
It is a super-2 number, since 2×24261320322 = 11772233273392898048, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 2426131988 and 2426132006.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 84594 + ... + 109582.
It is an arithmetic number, because the mean of its divisors is an integer number (90451305).
Almost surely, 22426132032 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 2426132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532636540).
2426132032 is an abundant number, since it is smaller than the sum of its proper divisors (2639141048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2426132032 is a wasteful number, since it uses less digits than its factorization.
2426132032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 25079 (or 25069 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 25.
The square root of 2426132032 is about 49255.7817113890. The cubic root of 2426132032 is about 1343.7077146903.
Adding to 2426132032 its reverse (2302316242), we get a palindrome (4728448274).
The spelling of 2426132032 in words is "two billion, four hundred twenty-six million, one hundred thirty-two thousand, thirty-two".
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