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32948 = 228237
BaseRepresentation
bin1000000010110100
31200012022
420002310
52023243
6412312
7165026
oct100264
950168
1032948
1122833
1217098
1311cc6
14c016
159b68
hex80b4

32948 has 6 divisors (see below), whose sum is σ = 57666. Its totient is φ = 16472.

The previous prime is 32941. The next prime is 32957. The reversal of 32948 is 84923.

It can be written as a sum of positive squares in only one way, i.e., 29584 + 3364 = 172^2 + 58^2 .

It is a d-powerful number, because it can be written as 33 + 27 + 9 + 42 + 85 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32948.

It is not an unprimeable number, because it can be changed into a prime (32941) by changing a digit.

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 as a sum of consecutive naturals, namely, 4115 + ... + 4122.

It is an arithmetic number, because the mean of its divisors is an integer number (9611).

232948 is an apocalyptic number.

It is an amenable number.

32948 is a deficient number, since it is larger than the sum of its proper divisors (24718).

32948 is a wasteful number, since it uses less digits than its factorization.

32948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8241 (or 8239 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 32948 is about 181.5158395292. The cubic root of 32948 is about 32.0584867879.

The spelling of 32948 in words is "thirty-two thousand, nine hundred forty-eight".

Divisors: 1 2 4 8237 16474 32948