Search a number
-
+
41741934 = 23133161283
BaseRepresentation
bin1001111100111…
…0111001101110
32220112201011120
42133032321232
541141220214
64050401410
71014541413
oct237167156
986481146
1041741934
1121620373
1211b90266
138856690
14578810a
1539e7ea9
hex27cee6e

41741934 has 64 divisors (see below), whose sum is σ = 94660608. Its totient is φ = 12182400.

The previous prime is 41741929. The next prime is 41741939. The reversal of 41741934 is 43914714.

It is an interprime number because it is at equal distance from previous prime (41741929) and next prime (41741939).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 41741895 and 41741904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41741939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147357 + ... + 147639.

It is an arithmetic number, because the mean of its divisors is an integer number (1479072).

Almost surely, 241741934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41741934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47330304).

41741934 is an abundant number, since it is smaller than the sum of its proper divisors (52918674).

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

41741934 is a wasteful number, since it uses less digits than its factorization.

41741934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393.

The product of its digits is 12096, while the sum is 33.

The square root of 41741934 is about 6460.7997956909. The cubic root of 41741934 is about 346.8892614216.

The spelling of 41741934 in words is "forty-one million, seven hundred forty-one thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 13 26 31 39 61 62 78 93 122 183 186 283 366 403 566 793 806 849 1209 1586 1698 1891 2379 2418 3679 3782 4758 5673 7358 8773 11037 11346 17263 17546 22074 24583 26319 34526 49166 51789 52638 73749 103578 114049 147498 224419 228098 342147 448838 535153 673257 684294 1070306 1346514 1605459 3210918 6956989 13913978 20870967 41741934