Search a number
-
+
239628704 = 2571139467
BaseRepresentation
bin11100100100001…
…11000110100000
3121200220101210012
432102013012200
5442321104304
635440024052
75636544650
oct1622070640
9550811705
10239628704
1111329a657
1268302028
133a850b43
1423b7a360
151608616e
hexe4871a0

239628704 has 48 divisors (see below), whose sum is σ = 543993408. Its totient is φ = 101778432.

The previous prime is 239628689. The next prime is 239628709. The reversal of 239628704 is 407826932.

It is a happy number.

239628704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (239628709) 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, 20579 + ... + 30045.

It is an arithmetic number, because the mean of its divisors is an integer number (11333196).

Almost surely, 2239628704 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 239628704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271996704).

239628704 is an abundant number, since it is smaller than the sum of its proper divisors (304364704).

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

239628704 is a wasteful number, since it uses less digits than its factorization.

239628704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9597 (or 9589 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 239628704 is about 15479.9452195413. The cubic root of 239628704 is about 621.1258627285.

The spelling of 239628704 in words is "two hundred thirty-nine million, six hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 113 224 226 452 791 904 1582 1808 3164 3616 6328 9467 12656 18934 25312 37868 66269 75736 132538 151472 265076 302944 530152 1060304 1069771 2120608 2139542 4279084 7488397 8558168 14976794 17116336 29953588 34232672 59907176 119814352 239628704