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41350240 = 2551092371
BaseRepresentation
bin1001110110111…
…1010001100000
32212210210212101
42131233101200
541041201430
64034140144
71011320431
oct235572140
985723771
1041350240
1121383058
1211a21654
13874a2c9
1456c5488
15396bdca
hex276f460

41350240 has 48 divisors (see below), whose sum is σ = 98627760. Its totient is φ = 16381440.

The previous prime is 41350217. The next prime is 41350247. The reversal of 41350240 is 4205314.

41350240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41350247) 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 7 ways as a sum of consecutive naturals, for example, 16255 + ... + 18625.

It is an arithmetic number, because the mean of its divisors is an integer number (2054745).

Almost surely, 241350240 is an apocalyptic number.

41350240 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 41350240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49313880).

41350240 is an abundant number, since it is smaller than the sum of its proper divisors (57277520).

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

41350240 is a wasteful number, since it uses less digits than its factorization.

41350240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 41350240 is about 6430.4152276505. The cubic root of 41350240 is about 345.8008142194.

Adding to 41350240 its reverse (4205314), we get a palindrome (45555554).

It can be divided in two parts, 413 and 50240, that added together give a cube (50653 = 373).

The spelling of 41350240 in words is "forty-one million, three hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 109 160 218 436 545 872 1090 1744 2180 2371 3488 4360 4742 8720 9484 11855 17440 18968 23710 37936 47420 75872 94840 189680 258439 379360 516878 1033756 1292195 2067512 2584390 4135024 5168780 8270048 10337560 20675120 41350240