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32445 = 3257103
BaseRepresentation
bin111111010111101
31122111200
413322331
52014240
6410113
7163410
oct77275
948450
1032445
1122416
1216939
13119ca
14bb77
159930
hex7ebd

32445 has 24 divisors (see below), whose sum is σ = 64896. Its totient is φ = 14688.

The previous prime is 32443. The next prime is 32467. The reversal of 32445 is 54423.

It is a happy number.

32445 is nontrivially palindromic in base 4.

32445 is an admirable number.

It is not a de Polignac number, because 32445 - 21 = 32443 is a prime.

It is a Curzon number.

It is a nialpdrome in base 14 and base 15.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264 + ... + 366.

It is an arithmetic number, because the mean of its divisors is an integer number (2704).

232445 is an apocalyptic number.

32445 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

32445 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32448).

32445 is a wasteful number, since it uses less digits than its factorization.

32445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 118 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 32445 is about 180.1249566273. The cubic root of 32445 is about 31.8945093946.

Adding to 32445 its reverse (54423), we get a palindrome (86868).

It can be divided in two parts, 3244 and 5, that added together give a square (3249 = 572).

The spelling of 32445 in words is "thirty-two thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 103 105 309 315 515 721 927 1545 2163 3605 4635 6489 10815 32445