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41148 = 2234127
BaseRepresentation
bin1010000010111100
32002110000
422002330
52304043
6514300
7230652
oct120274
962400
1041148
1128a08
121b990
1315963
1410dd2
15c2d3
hexa0bc

41148 has 30 divisors (see below), whose sum is σ = 108416. Its totient is φ = 13608.

The previous prime is 41143. The next prime is 41149. The reversal of 41148 is 84114.

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 41148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41141) by changing a digit.

41148 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 261 + ... + 387.

241148 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 41148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54208).

41148 is an abundant number, since it is smaller than the sum of its proper divisors (67268).

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

41148 is a wasteful number, since it uses less digits than its factorization.

41148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 132 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 41148 is about 202.8496980525. The cubic root of 41148 is about 34.5236133239.

The spelling of 41148 in words is "forty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 127 162 254 324 381 508 762 1143 1524 2286 3429 4572 6858 10287 13716 20574 41148