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41217040 = 245539721
BaseRepresentation
bin1001110100111…
…0110000010000
32212120001011001
42131032300100
541022421130
64031231344
71010224204
oct235166020
985501131
1041217040
11212a1a77
1211978554
1387017a7
14568cb04
1539426ca
hex274ec10

41217040 has 40 divisors (see below), whose sum is σ = 97647768. Its totient is φ = 16174080.

The previous prime is 41217037. The next prime is 41217047. The reversal of 41217040 is 4071214.

It can be written as a sum of positive squares in 4 ways, for example, as 614656 + 40602384 = 784^2 + 6372^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 41216999 and 41217017.

It is not an unprimeable number, because it can be changed into a prime (41217047) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 621 + ... + 9100.

Almost surely, 241217040 is an apocalyptic number.

41217040 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 41217040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48823884).

41217040 is an abundant number, since it is smaller than the sum of its proper divisors (56430728).

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

41217040 is a wasteful number, since it uses less digits than its factorization.

41217040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9787 (or 9781 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 41217040 is about 6420.0498440433. The cubic root of 41217040 is about 345.4291096860.

Adding to 41217040 its reverse (4071214), we get a palindrome (45288254).

The spelling of 41217040 in words is "forty-one million, two hundred seventeen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 9721 19442 38884 48605 77768 97210 155536 194420 388840 515213 777680 1030426 2060852 2576065 4121704 5152130 8243408 10304260 20608520 41217040