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41693080 = 235111337197
BaseRepresentation
bin1001111100001…
…0111110011000
32220110020011011
42133002332120
541133134310
64045343304
71014246112
oct237027630
986406134
1041693080
11215976a0
1211b67b34
13883a380
1457743b2
1539d878a
hex27c2f98

41693080 has 128 divisors (see below), whose sum is σ = 113762880. Its totient is φ = 13547520.

The previous prime is 41693059. The next prime is 41693083. The reversal of 41693080 is 8039614.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41693083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211542 + ... + 211738.

Almost surely, 241693080 is an apocalyptic number.

41693080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41693080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56881440).

41693080 is an abundant number, since it is smaller than the sum of its proper divisors (72069800).

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

41693080 is a wasteful number, since it uses less digits than its factorization.

41693080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 41693080 is about 6457.0178875391. The cubic root of 41693080 is about 346.7538776311.

The spelling of 41693080 in words is "forty-one million, six hundred ninety-three thousand, eighty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 37 40 44 52 55 65 74 88 104 110 130 143 148 185 197 220 260 286 296 370 394 407 440 481 520 572 715 740 788 814 962 985 1144 1430 1480 1576 1628 1924 1970 2035 2167 2405 2561 2860 3256 3848 3940 4070 4334 4810 5122 5291 5720 7289 7880 8140 8668 9620 10244 10582 10835 12805 14578 16280 17336 19240 20488 21164 21670 25610 26455 28171 29156 36445 42328 43340 51220 52910 56342 58312 72890 80179 86680 94757 102440 105820 112684 140855 145780 160358 189514 211640 225368 281710 291560 320716 379028 400895 473785 563420 641432 758056 801790 947570 1042327 1126840 1603580 1895140 2084654 3207160 3790280 4169308 5211635 8338616 10423270 20846540 41693080