Search a number
-
+
239888142 = 2351343883
BaseRepresentation
bin11100100110001…
…10011100001110
3121201101120200000
432103012130032
5442402410032
635445345130
75642005224
oct1623063416
9551346600
10239888142
1111345756a
12684081a6
133a911c60
1423c06b14
15160d7e7c
hexe4c670e

239888142 has 96 divisors (see below), whose sum is σ = 594642048. Its totient is φ = 72013536.

The previous prime is 239888083. The next prime is 239888149. The reversal of 239888142 is 241888932.

239888142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239888149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271233 + ... + 272115.

It is an arithmetic number, because the mean of its divisors is an integer number (6194188).

Almost surely, 2239888142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239888142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297321024).

239888142 is an abundant number, since it is smaller than the sum of its proper divisors (354753906).

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

239888142 is a wasteful number, since it uses less digits than its factorization.

239888142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 944 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 239888142 is about 15488.3227626493. The cubic root of 239888142 is about 621.3499392948.

The spelling of 239888142 in words is "two hundred thirty-nine million, eight hundred eighty-eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 43 54 78 81 86 117 129 162 234 243 258 351 387 486 559 702 774 883 1053 1118 1161 1677 1766 2106 2322 2649 3159 3354 3483 5031 5298 6318 6966 7947 10062 10449 11479 15093 15894 20898 22958 23841 30186 34437 37969 45279 47682 68874 71523 75938 90558 103311 113907 135837 143046 206622 214569 227814 271674 309933 341721 429138 493597 619866 683442 929799 987194 1025163 1480791 1859598 2050326 2789397 2961582 3075489 4442373 5578794 6150978 8884746 9226467 13327119 18452934 26654238 39981357 79962714 119944071 239888142