Base | Representation |
---|---|
bin | 11100110000111… |
… | …00111100000000 |
3 | 121211000212001000 |
4 | 32120130330000 |
5 | 443232303013 |
6 | 35535412000 |
7 | 5656640220 |
oct | 1630347400 |
9 | 554025030 |
10 | 241291008 |
11 | 114225562 |
12 | 68984000 |
13 | 3acb365a |
14 | 24090080 |
15 | 162b3973 |
hex | e61cf00 |
241291008 has 144 divisors (see below), whose sum is σ = 815637760. Its totient is φ = 68926464.
The previous prime is 241291007. The next prime is 241291087. The reversal of 241291008 is 800192142.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a zygodrome in base 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (241291003) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45891 + ... + 50877.
Almost surely, 2241291008 is an apocalyptic number.
241291008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 241291008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407818880).
241291008 is an abundant number, since it is smaller than the sum of its proper divisors (574346752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
241291008 is an equidigital number, since it uses as much as digits as its factorization.
241291008 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5019 (or 4999 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 27.
The square root of 241291008 is about 15533.5446051441. The cubic root of 241291008 is about 622.5588041415.
The spelling of 241291008 in words is "two hundred forty-one million, two hundred ninety-one thousand, eight".
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