Search a number
-
+
41242200 = 2335268737
BaseRepresentation
bin1001110101010…
…0111001011000
32212121022122220
42131110321120
541024222300
64031544040
71010360436
oct235247130
985538586
1041242200
112130996a
121198b020
13871008c
145697d56
153949da0
hex2754e58

41242200 has 48 divisors (see below), whose sum is σ = 127852680. Its totient is φ = 10997760.

The previous prime is 41242199. The next prime is 41242207. The reversal of 41242200 is 224214.

41242200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 41242200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41242207) 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 11 ways as a sum of consecutive naturals, for example, 33769 + ... + 34968.

Almost surely, 241242200 is an apocalyptic number.

41242200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41242200 is an abundant number, since it is smaller than the sum of its proper divisors (86610480).

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

41242200 is a wasteful number, since it uses less digits than its factorization.

41242200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68756 (or 68747 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 41242200 is about 6422.0090314480. The cubic root of 41242200 is about 345.4993818242.

Adding to 41242200 its reverse (224214), we get a palindrome (41466414).

The spelling of 41242200 in words is "forty-one million, two hundred forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 68737 137474 206211 274948 343685 412422 549896 687370 824844 1031055 1374740 1649688 1718425 2062110 2749480 3436850 4124220 5155275 6873700 8248440 10310550 13747400 20621100 41242200