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41971104 = 25327109191
BaseRepresentation
bin1010000000011…
…0110110100000
32220222100112100
42200012312200
541221033404
64055330400
71016514510
oct240066640
986870470
1041971104
112176756a
1212080a00
138906a96
145807840
153a40d39
hex2806da0

41971104 has 144 divisors (see below), whose sum is σ = 138378240. Its totient is φ = 11819520.

The previous prime is 41971103. The next prime is 41971157. The reversal of 41971104 is 40117914.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41971103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219649 + ... + 219839.

It is an arithmetic number, because the mean of its divisors is an integer number (960960).

Almost surely, 241971104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41971104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69189120).

41971104 is an abundant number, since it is smaller than the sum of its proper divisors (96407136).

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

41971104 is a wasteful number, since it uses less digits than its factorization.

41971104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 41971104 is about 6478.5109400232. The cubic root of 41971104 is about 347.5229293222.

The spelling of 41971104 in words is "forty-one million, nine hundred seventy-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 109 112 126 144 168 191 218 224 252 288 327 336 382 436 504 573 654 672 763 764 872 981 1008 1146 1308 1337 1526 1528 1719 1744 1962 2016 2289 2292 2616 2674 3052 3056 3438 3488 3924 4011 4578 4584 5232 5348 6104 6112 6867 6876 7848 8022 9156 9168 10464 10696 12033 12208 13734 13752 15696 16044 18312 18336 20819 21392 24066 24416 27468 27504 31392 32088 36624 41638 42784 48132 54936 55008 62457 64176 73248 83276 96264 109872 124914 128352 145733 166552 187371 192528 219744 249828 291466 333104 374742 385056 437199 499656 582932 666208 749484 874398 999312 1165864 1311597 1498968 1748796 1998624 2331728 2623194 2997936 3497592 4663456 5246388 5995872 6995184 10492776 13990368 20985552 41971104