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41363280 = 24325729283
BaseRepresentation
bin1001110111001…
…0011101010000
32212211110202100
42131302131100
541042111110
64034320400
71011403440
oct235623520
985743670
1041363280
1121391932
1211a29100
13875321a
1456ca120
153970bc0
hex2772750

41363280 has 240 divisors, whose sum is σ = 164810880. Its totient is φ = 9096192.

The previous prime is 41363239. The next prime is 41363281. The reversal of 41363280 is 8236314.

41363280 = 273 + 283 + ... + 1133.

It is a happy number.

41363280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41363281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146019 + ... + 146301.

It is an arithmetic number, because the mean of its divisors is an integer number (686712).

Almost surely, 241363280 is an apocalyptic number.

41363280 is a gapful number since it is divisible by the number (40) 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 41363280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82405440).

41363280 is an abundant number, since it is smaller than the sum of its proper divisors (123447600).

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

41363280 is a wasteful number, since it uses less digits than its factorization.

41363280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 41363280 is about 6431.4290791394. The cubic root of 41363280 is about 345.8371603905.

Adding to 41363280 its reverse (8236314), we get a palindrome (49599594).

The spelling of 41363280 in words is "forty-one million, three hundred sixty-three thousand, two hundred eighty".