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389232 = 24331753
BaseRepresentation
bin1011111000001110000
3201202221000
41133001300
544423412
612202000
73210534
oct1370160
9652830
10389232
11246488
12169300
1310821c
14a1bc4
157a4dc
hex5f070

389232 has 80 divisors (see below), whose sum is σ = 1205280. Its totient is φ = 119808.

The previous prime is 389231. The next prime is 389269. The reversal of 389232 is 232983.

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

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 389196 and 389205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389231) 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, 7318 + ... + 7370.

It is an arithmetic number, because the mean of its divisors is an integer number (15066).

2389232 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 389232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602640).

389232 is an abundant number, since it is smaller than the sum of its proper divisors (816048).

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

389232 is a wasteful number, since it uses less digits than its factorization.

389232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 75 counting only the distinct ones).

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

The square root of 389232 is about 623.8846047147. The cubic root of 389232 is about 73.0134459501.

The spelling of 389232 in words is "three hundred eighty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 53 54 68 72 102 106 108 136 144 153 159 204 212 216 272 306 318 408 424 432 459 477 612 636 816 848 901 918 954 1224 1272 1431 1802 1836 1908 2448 2544 2703 2862 3604 3672 3816 5406 5724 7208 7344 7632 8109 10812 11448 14416 16218 21624 22896 24327 32436 43248 48654 64872 97308 129744 194616 389232