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66352 = 24111329
BaseRepresentation
bin10000001100110000
310101000111
4100030300
54110402
61231104
7364306
oct201460
9111014
1066352
1145940
1232494
1324280
141a276
15149d7
hex10330

66352 has 40 divisors (see below), whose sum is σ = 156240. Its totient is φ = 26880.

The previous prime is 66347. The next prime is 66359. The reversal of 66352 is 25366.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 6 + 66 + 39 + 5 + 2 .

It is not an unprimeable number, because it can be changed into a prime (66359) by changing a digit.

66352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2274 + ... + 2302.

It is an arithmetic number, because the mean of its divisors is an integer number (3906).

266352 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 66352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78120).

66352 is an abundant number, since it is smaller than the sum of its proper divisors (89888).

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

66352 is a wasteful number, since it uses less digits than its factorization.

66352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 55 counting only the distinct ones).

The product of its digits is 1080, while the sum is 22.

The square root of 66352 is about 257.5888196332. The cubic root of 66352 is about 40.4841171272.

It can be divided in two parts, 66 and 352, that multiplied together give a palindrome (23232).

The spelling of 66352 in words is "sixty-six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 29 44 52 58 88 104 116 143 176 208 232 286 319 377 464 572 638 754 1144 1276 1508 2288 2552 3016 4147 5104 6032 8294 16588 33176 66352