Search a number
-
+
41050000 = 2455821
BaseRepresentation
bin1001110010010…
…1111110010000
32212020120000101
42130211332100
541002100000
64023502144
71005630205
oct234457620
985216011
1041050000
1121198522
12118b7954
138673754
145647cac
15390ce6a
hex2725f90

41050000 has 60 divisors (see below), whose sum is σ = 99532692. Its totient is φ = 16400000.

The previous prime is 41049997. The next prime is 41050027. The reversal of 41050000 is 5014.

41050000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 37161216 + 3888784 = 6096^2 + 1972^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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, 49590 + ... + 50410.

Almost surely, 241050000 is an apocalyptic number.

41050000 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 41050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49766346).

41050000 is an abundant number, since it is smaller than the sum of its proper divisors (58482692).

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

41050000 is an frugal number, since it uses more digits than its factorization.

41050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 41050000 is about 6407.0273918565. The cubic root of 41050000 is about 344.9618385291.

Adding to 41050000 its reverse (5014), we get a palindrome (41055014).

The spelling of 41050000 in words is "forty-one million, fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 821 1000 1250 1642 2000 2500 3125 3284 4105 5000 6250 6568 8210 10000 12500 13136 16420 20525 25000 32840 41050 50000 65680 82100 102625 164200 205250 328400 410500 513125 821000 1026250 1642000 2052500 2565625 4105000 5131250 8210000 10262500 20525000 41050000