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33048 = 233517
BaseRepresentation
bin1000000100011000
31200100000
420010120
52024143
6413000
7165231
oct100430
950300
1033048
1122914
1217160
1312072
14c088
159bd3
hex8118

33048 has 48 divisors (see below), whose sum is σ = 98280. Its totient is φ = 10368.

The previous prime is 33037. The next prime is 33049. The reversal of 33048 is 84033.

33048 is nontrivially palindromic in base 16.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 33048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1936 + ... + 1952.

233048 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 33048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49140).

33048 is an abundant number, since it is smaller than the sum of its proper divisors (65232).

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

33048 is a wasteful number, since it uses less digits than its factorization.

33048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 33048 is about 181.7910888905. The cubic root of 33048 is about 32.0908874474.

It can be divided in two parts, 330 and 48, that added together give a triangular number (378 = T27).

The spelling of 33048 in words is "thirty-three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 243 306 324 408 459 486 612 648 918 972 1224 1377 1836 1944 2754 3672 4131 5508 8262 11016 16524 33048