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1148 = 22741
BaseRepresentation
bin10001111100
31120112
4101330
514043
65152
73230
oct2174
91515
101148
11954
127b8
136a4
145c0
15518
hex47c

1148 has 12 divisors (see below), whose sum is σ = 2352. Its totient is φ = 480.

The previous prime is 1129. The next prime is 1151. The reversal of 1148 is 8411.

Adding to 1148 its reverse (8411), we get a palindrome (9559).

It can be divided in two parts, 11 and 48, that multiplied together give a triangular number (528 = T32).

It is a happy number.

1148 is an admirable number.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

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

1148 is an undulating number in base 9.

It is a plaindrome in base 10 and base 16.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

1148 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8 + ... + 48.

It is an arithmetic number, because the mean of its divisors is an integer number (196).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176).

1148 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

1148 is a wasteful number, since it uses less digits than its factorization.

1148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 50 counting only the distinct ones).

The product of its digits is 32, while the sum is 14.

The square root of 1148 is about 33.8821486922. The cubic root of 1148 is about 10.4708184448.

The spelling of 1148 in words is "one thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 28 41 82 164 287 574 1148