Search a number
-
+
239382 = 233111331
BaseRepresentation
bin111010011100010110
3110011101000
4322130112
530130012
65044130
72014623
oct723426
9404330
10239382
11153940
12b6646
1384c60
146334a
154addc
hex3a716

239382 has 64 divisors (see below), whose sum is σ = 645120. Its totient is φ = 64800.

The previous prime is 239357. The next prime is 239383. The reversal of 239382 is 283932.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7707 + ... + 7737.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2239382 is an apocalyptic number.

239382 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 239382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322560).

239382 is an abundant number, since it is smaller than the sum of its proper divisors (405738).

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

239382 is a wasteful number, since it uses less digits than its factorization.

239382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 60 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 239382 is about 489.2667983830. The cubic root of 239382 is about 62.0912634446.

The spelling of 239382 in words is "two hundred thirty-nine thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 31 33 39 54 62 66 78 93 99 117 143 186 198 234 279 286 297 341 351 403 429 558 594 682 702 806 837 858 1023 1209 1287 1674 2046 2418 2574 3069 3627 3861 4433 6138 7254 7722 8866 9207 10881 13299 18414 21762 26598 39897 79794 119691 239382