Base | Representation |
---|---|
bin | 111100101101… |
… | …0110001000000 |
3 | 2012220002020221 |
4 | 1321122301000 |
5 | 31122012211 |
6 | 3054112424 |
7 | 534354040 |
oct | 171326100 |
9 | 65802227 |
10 | 31829056 |
11 | 16a6a706 |
12 | a7ab714 |
13 | 679567c |
14 | 4327720 |
15 | 2bdac71 |
hex | 1e5ac40 |
31829056 has 56 divisors (see below), whose sum is σ = 75346560. Its totient is φ = 13043712.
The previous prime is 31829053. The next prime is 31829069. The reversal of 31829056 is 65092813.
It is a tau number, because it is divible by the number of its divisors (56).
It is a super-2 number, since 2×318290562 = 2026177611702272, which contains 22 as substring.
It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (31829053) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8760 + ... + 11848.
Almost surely, 231829056 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 31829056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37673280).
31829056 is an abundant number, since it is smaller than the sum of its proper divisors (43517504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31829056 is a wasteful number, since it uses less digits than its factorization.
31829056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3131 (or 3121 counting only the distinct ones).
The product of its (nonzero) digits is 12960, while the sum is 34.
The square root of 31829056 is about 5641.7245590333. The cubic root of 31829056 is about 316.9138743095.
The spelling of 31829056 in words is "thirty-one million, eight hundred twenty-nine thousand, fifty-six".
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