Search a number
-
+
41730714 = 2341731489
BaseRepresentation
bin1001111100110…
…0001010011010
32220112010210000
42133030022122
541140340324
64050233430
71014463614
oct237141232
986463700
1041730714
11216129a3
1211b85876
13885153c
145783db4
1539e49c9
hex27cc29a

41730714 has 40 divisors (see below), whose sum is σ = 94111380. Its totient is φ = 13820544.

The previous prime is 41730701. The next prime is 41730721. The reversal of 41730714 is 41703714.

41730714 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 2 ways, for example, as 41409225 + 321489 = 6435^2 + 567^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 27282 + ... + 28770.

Almost surely, 241730714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41730714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47055690).

41730714 is an abundant number, since it is smaller than the sum of its proper divisors (52380666).

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

41730714 is a wasteful number, since it uses less digits than its factorization.

41730714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 41730714 is about 6459.9314237846. The cubic root of 41730714 is about 346.8581780009.

Subtracting from 41730714 its reverse (41703714), we obtain a cube (27000 = 303).

The spelling of 41730714 in words is "forty-one million, seven hundred thirty thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 173 346 519 1038 1489 1557 2978 3114 4467 4671 8934 9342 13401 14013 26802 28026 40203 80406 120609 241218 257597 515194 772791 1545582 2318373 4636746 6955119 13910238 20865357 41730714