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41838342 = 237131937109
BaseRepresentation
bin1001111110011…
…0011100000110
32220201121102020
42133212130012
541202311332
64052424010
71015422450
oct237463406
986647366
1041838342
1121686847
1212018006
13888b520
1457b12d0
153a1682c
hex27e6706

41838342 has 128 divisors (see below), whose sum is σ = 112358400. Its totient is φ = 10077696.

The previous prime is 41838337. The next prime is 41838373. The reversal of 41838342 is 24383814.

It is a super-2 number, since 2×418383422 = 3500893722617928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 383784 + ... + 383892.

It is an arithmetic number, because the mean of its divisors is an integer number (877800).

Almost surely, 241838342 is an apocalyptic number.

41838342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 41838342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56179200).

41838342 is an abundant number, since it is smaller than the sum of its proper divisors (70520058).

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

41838342 is a wasteful number, since it uses less digits than its factorization.

41838342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190.

The product of its digits is 18432, while the sum is 33.

The square root of 41838342 is about 6468.2564884210. The cubic root of 41838342 is about 347.1561168585.

The spelling of 41838342 in words is "forty-one million, eight hundred thirty-eight thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 13 14 19 21 26 37 38 39 42 57 74 78 91 109 111 114 133 182 218 222 247 259 266 273 327 399 481 494 518 546 654 703 741 763 777 798 962 1406 1417 1443 1482 1526 1554 1729 2071 2109 2289 2834 2886 3367 3458 4033 4142 4218 4251 4578 4921 5187 6213 6734 8066 8502 9139 9842 9919 10101 10374 12099 12426 14497 14763 18278 19838 20202 24198 26923 27417 28231 28994 29526 29757 43491 52429 53846 54834 56462 59514 63973 76627 80769 84693 86982 104858 127946 153254 157287 161538 169386 188461 191919 229881 314574 367003 376922 383838 459762 536389 565383 734006 996151 1072778 1101009 1130766 1609167 1992302 2202018 2988453 3218334 5976906 6973057 13946114 20919171 41838342