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66388 = 2272371
BaseRepresentation
bin10000001101010100
310101001211
4100031110
54111023
61231204
7364360
oct201524
9111054
1066388
1145973
1232504
13242aa
141a2a0
1514a0d
hex10354

66388 has 12 divisors (see below), whose sum is σ = 132832. Its totient is φ = 28440.

The previous prime is 66383. The next prime is 66403. The reversal of 66388 is 88366.

66388 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66383) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1158 + ... + 1213.

266388 is an apocalyptic number.

It is an amenable number.

66388 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 (66416).

66388 is a wasteful number, since it uses less digits than its factorization.

66388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 2380 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 66388 is about 257.6586889666. The cubic root of 66388 is about 40.4914375030.

It can be divided in two parts, 66 and 388, that added together give a palindrome (454).

The spelling of 66388 in words is "sixty-six thousand, three hundred eighty-eight".

Divisors: 1 2 4 7 14 28 2371 4742 9484 16597 33194 66388