Search a number
-
+
239121008 = 2472983887
BaseRepresentation
bin11100100000010…
…11001001110000
3121122221121100122
432100023021300
5442203333013
635421105412
75632331540
oct1620131160
9548847318
10239121008
11112a83175
12680b8268
133a703a29
1423a87320
1515ed5a08
hexe40b270

239121008 has 80 divisors (see below), whose sum is σ = 554964480. Its totient is φ = 97644288.

The previous prime is 239120993. The next prime is 239121019. The reversal of 239121008 is 800121932.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 269141 + ... + 270027.

It is an arithmetic number, because the mean of its divisors is an integer number (6937056).

Almost surely, 2239121008 is an apocalyptic number.

239121008 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 239121008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277482240).

239121008 is an abundant number, since it is smaller than the sum of its proper divisors (315843472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

239121008 is a wasteful number, since it uses less digits than its factorization.

239121008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 239121008 is about 15463.5380168964. The cubic root of 239121008 is about 620.6868973949.

The spelling of 239121008 in words is "two hundred thirty-nine million, one hundred twenty-one thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 83 112 116 166 203 232 332 406 464 581 664 812 887 1162 1328 1624 1774 2324 2407 3248 3548 4648 4814 6209 7096 9296 9628 12418 14192 16849 19256 24836 25723 33698 38512 49672 51446 67396 73621 99344 102892 134792 147242 180061 205784 269584 294484 360122 411568 515347 588968 720244 1030694 1177936 1440488 2061388 2135009 2880976 4122776 4270018 8245552 8540036 14945063 17080072 29890126 34160144 59780252 119560504 239121008