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6948 = 2232193
BaseRepresentation
bin1101100100100
3100112100
41230210
5210243
652100
726154
oct15444
910470
106948
115247
124030
133216
142764
1520d3
hex1b24

6948 has 18 divisors (see below), whose sum is σ = 17654. Its totient is φ = 2304.

The previous prime is 6947. The next prime is 6949. The reversal of 6948 is 8496.

It is an interprime number because it is at equal distance from previous prime (6947) and next prime (6949).

It can be written as a sum of positive squares in only one way, i.e., 5184 + 1764 = 72^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (6947) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61 + ... + 132.

It is an amenable number.

6948 is an abundant number, since it is smaller than the sum of its proper divisors (10706).

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

6948 is a wasteful number, since it uses less digits than its factorization.

6948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 198 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 6948 is about 83.3546639367. The cubic root of 6948 is about 19.0818262297.

The spelling of 6948 in words is "six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 193 386 579 772 1158 1737 2316 3474 6948