Search a number
-
+
41422014 = 23219313907
BaseRepresentation
bin1001111000000…
…0110010111110
32212221110022200
42132000302332
541101001024
64035452330
71012036614
oct236006276
985843280
1041422014
1121421a77
1211a570a6
138773b8a
1457036b4
1539832c9
hex2780cbe

41422014 has 48 divisors (see below), whose sum is σ = 97543680. Its totient is φ = 12655440.

The previous prime is 41422009. The next prime is 41422021. The reversal of 41422014 is 41022414.

41422014 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 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 23 ways as a sum of consecutive naturals, for example, 8649 + ... + 12555.

It is an arithmetic number, because the mean of its divisors is an integer number (2032160).

Almost surely, 241422014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41422014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48771840).

41422014 is an abundant number, since it is smaller than the sum of its proper divisors (56121666).

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

41422014 is a wasteful number, since it uses less digits than its factorization.

41422014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3965 (or 3962 counting only the distinct ones).

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

The square root of 41422014 is about 6435.9936295804. The cubic root of 41422014 is about 346.0007740524. Note that the first 3 decimals are identical.

Adding to 41422014 its reverse (41022414), we get a palindrome (82444428).

The spelling of 41422014 in words is "forty-one million, four hundred twenty-two thousand, fourteen".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 279 342 558 589 1178 1767 3534 3907 5301 7814 10602 11721 23442 35163 70326 74233 121117 148466 222699 242234 363351 445398 668097 726702 1090053 1336194 2180106 2301223 4602446 6903669 13807338 20711007 41422014