Search a number
-
+
41243328 = 2632753193
BaseRepresentation
bin1001110101010…
…1001011000000
32212121101012200
42131111023000
541024241303
64031553200
71010363640
oct235251300
985541180
1041243328
112130a7a5
121198b800
138710749
145698520
15394a3a3
hex27552c0

41243328 has 168 divisors, whose sum is σ = 138367008. Its totient is φ = 11501568.

The previous prime is 41243291. The next prime is 41243341. The reversal of 41243328 is 82334214.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213600 + ... + 213792.

Almost surely, 241243328 is an apocalyptic number.

41243328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41243328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69183504).

41243328 is an abundant number, since it is smaller than the sum of its proper divisors (97123680).

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

41243328 is a wasteful number, since it uses less digits than its factorization.

41243328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 258 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 41243328 is about 6422.0968538321. The cubic root of 41243328 is about 345.5025316703.

The spelling of 41243328 in words is "forty-one million, two hundred forty-three thousand, three hundred twenty-eight".