Search a number
-
+
239382132 = 223115334217
BaseRepresentation
bin11100100010010…
…10111001110100
3121200102212112220
432101022321310
5442240212012
635430442340
75634500043
oct1621127164
9550385486
10239382132
11113141380
12682033b0
133a795842
1423b1455a
151603808c
hexe44ae74

239382132 has 48 divisors (see below), whose sum is σ = 620851392. Its totient is φ = 71169280.

The previous prime is 239382113. The next prime is 239382133. The reversal of 239382132 is 231283932.

239382132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 239382093 and 239382102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239382133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10113 + ... + 24104.

It is an arithmetic number, because the mean of its divisors is an integer number (12934404).

Almost surely, 2239382132 is an apocalyptic number.

239382132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

239382132 is an abundant number, since it is smaller than the sum of its proper divisors (381469260).

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

239382132 is a wasteful number, since it uses less digits than its factorization.

239382132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34288 (or 34286 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 239382132 is about 15471.9789296651. The cubic root of 239382132 is about 620.9127485736.

The spelling of 239382132 in words is "two hundred thirty-nine million, three hundred eighty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 318 583 636 1166 1749 2332 3498 6996 34217 68434 102651 136868 205302 376387 410604 752774 1129161 1505548 1813501 2258322 3627002 4516644 5440503 7254004 10881006 19948511 21762012 39897022 59845533 79794044 119691066 239382132