Base | Representation |
---|---|
bin | 11100011010101… |
… | …10100000000000 |
3 | 121121120000100000 |
4 | 32031112200000 |
5 | 442011143211 |
6 | 35353200000 |
7 | 5623130334 |
oct | 1615264000 |
9 | 547500300 |
10 | 238381056 |
11 | 112618241 |
12 | 67a00000 |
13 | 3a504ca4 |
14 | 239337c4 |
15 | 15ddb656 |
hex | e356800 |
238381056 has 144 divisors (see below), whose sum is σ = 715478400. Its totient is φ = 79294464.
The previous prime is 238381051. The next prime is 238381061. The reversal of 238381056 is 650183832.
It is an interprime number because it is at equal distance from previous prime (238381051) and next prime (238381061).
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 (36).
It is an alternating number because its digits alternate between even and odd.
It is a self number, because there is not a number n which added to its sum of digits gives 238381056.
It is not an unprimeable number, because it can be changed into a prime (238381051) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497425 + ... + 497903.
It is an arithmetic number, because the mean of its divisors is an integer number (4968600).
Almost surely, 2238381056 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 238381056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357739200).
238381056 is an abundant number, since it is smaller than the sum of its proper divisors (477097344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
238381056 is an frugal number, since it uses more digits than its factorization.
238381056 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 516 (or 484 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 36.
The square root of 238381056 is about 15439.5937770396. The cubic root of 238381056 is about 620.0460042173.
The spelling of 238381056 in words is "two hundred thirty-eight million, three hundred eighty-one thousand, fifty-six".
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