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41693640 = 23353371031
BaseRepresentation
bin1001111100001…
…1000111001000
32220110020220220
42133003013020
541133144030
64045350040
71014250542
oct237030710
986406826
1041693640
112159805a
1211b68320
13883a6c1
145774692
1539d8a10
hex27c31c8

41693640 has 64 divisors (see below), whose sum is σ = 125573760. Its totient is φ = 11074560.

The previous prime is 41693629. The next prime is 41693693. The reversal of 41693640 is 4639614.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39925 + ... + 40955.

It is an arithmetic number, because the mean of its divisors is an integer number (1962090).

Almost surely, 241693640 is an apocalyptic number.

41693640 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 41693640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62786880).

41693640 is an abundant number, since it is smaller than the sum of its proper divisors (83880120).

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

41693640 is a wasteful number, since it uses less digits than its factorization.

41693640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 41693640 is about 6457.0612510646. The cubic root of 41693640 is about 346.7554300974.

The spelling of 41693640 in words is "forty-one million, six hundred ninety-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 337 674 1011 1031 1348 1685 2022 2062 2696 3093 3370 4044 4124 5055 5155 6186 6740 8088 8248 10110 10310 12372 13480 15465 20220 20620 24744 30930 40440 41240 61860 123720 347447 694894 1042341 1389788 1737235 2084682 2779576 3474470 4169364 5211705 6948940 8338728 10423410 13897880 20846820 41693640