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33152 = 27737
BaseRepresentation
bin1000000110000000
31200110212
420012000
52030102
6413252
7165440
oct100600
950425
1033152
11229a9
1217228
1312122
14c120
159c52
hex8180

33152 has 32 divisors (see below), whose sum is σ = 77520. Its totient is φ = 13824.

The previous prime is 33151. The next prime is 33161. The reversal of 33152 is 25133.

Adding to 33152 its reverse (25133), we get a palindrome (58285).

It can be divided in two parts, 331 and 52, that added together give a palindrome (383).

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 878 + ... + 914.

233152 is an apocalyptic number.

33152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38760).

33152 is an abundant number, since it is smaller than the sum of its proper divisors (44368).

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

33152 is an equidigital number, since it uses as much as digits as its factorization.

33152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 46 counting only the distinct ones).

The product of its digits is 90, while the sum is 14.

The square root of 33152 is about 182.0769068279. The cubic root of 33152 is about 32.1245148730.

The spelling of 33152 in words is "thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 259 296 448 518 592 896 1036 1184 2072 2368 4144 4736 8288 16576 33152