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948 = 22379
BaseRepresentation
bin1110110100
31022010
432310
512243
64220
72523
oct1664
91263
10948
11792
12670
1357c
144ba
15433
hex3b4

948 has 12 divisors (see below), whose sum is σ = 2240. Its totient is φ = 312.

The previous prime is 947. The next prime is 953. The reversal of 948 is 849.

Adding to 948 its sum of digits (21), we get a palindrome (969).

Subtracting from 948 its reverse (849), we obtain a palindrome (99).

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is a nialpdrome in base 6 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (941) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28 + ... + 51.

It is an amenable number.

948 is an abundant number, since it is smaller than the sum of its proper divisors (1292).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120).

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

With its successor (949) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (86).

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

The sum of its prime factors is 86 (or 84 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 948 is about 30.7896086367. The cubic root of 948 is about 9.8235722987.

The spelling of 948 in words is "nine hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 79 158 237 316 474 948