Search a number
-
+
41040414 = 23217711889
BaseRepresentation
bin1001110010001…
…1101000011110
32212020001212100
42130203220132
541001243124
64023345530
71005560232
oct234435036
985201770
1041040414
11211912a8
12118b22a6
13866c28c
1456445c2
15390a1c9
hex2723a1e

41040414 has 48 divisors (see below), whose sum is σ = 95528160. Its totient is φ = 12687360.

The previous prime is 41040413. The next prime is 41040449. The reversal of 41040414 is 41404014.

41040414 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41040413) 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 23 ways as a sum of consecutive naturals, for example, 20782 + ... + 22670.

It is an arithmetic number, because the mean of its divisors is an integer number (1990170).

Almost surely, 241040414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41040414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47764080).

41040414 is an abundant number, since it is smaller than the sum of its proper divisors (54487746).

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

41040414 is a wasteful number, since it uses less digits than its factorization.

41040414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 41040414 is about 6406.2792633478. The cubic root of 41040414 is about 344.9349845980.

Adding to 41040414 its reverse (41404014), we get a palindrome (82444428).

The spelling of 41040414 in words is "forty-one million, forty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 71 102 142 153 213 306 426 639 1207 1278 1889 2414 3621 3778 5667 7242 10863 11334 17001 21726 32113 34002 64226 96339 134119 192678 268238 289017 402357 578034 804714 1207071 2280023 2414142 4560046 6840069 13680138 20520207 41040414