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41692896 = 2532720681
BaseRepresentation
bin1001111100001…
…0111011100000
32220110012220100
42133002323200
541133133041
64045342400
71014245430
oct237027340
986405810
1041692896
1121597543
1211b67a00
13883a26b
1457742c0
1539d86b6
hex27c2ee0

41692896 has 72 divisors (see below), whose sum is σ = 135508464. Its totient is φ = 11911680.

The previous prime is 41692837. The next prime is 41692909. The reversal of 41692896 is 69829614.

It is a happy number.

41692896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8325 + ... + 12356.

It is an arithmetic number, because the mean of its divisors is an integer number (1882062).

Almost surely, 241692896 is an apocalyptic number.

It is an amenable number.

41692896 is an abundant number, since it is smaller than the sum of its proper divisors (93815568).

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

41692896 is a wasteful number, since it uses less digits than its factorization.

41692896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20704 (or 20693 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 41692896 is about 6457.0036394600. The cubic root of 41692896 is about 346.7533675320.

The spelling of 41692896 in words is "forty-one million, six hundred ninety-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 20681 41362 62043 82724 124086 144767 165448 186129 248172 289534 330896 372258 434301 496344 579068 661792 744516 868602 992688 1158136 1302903 1489032 1737204 1985376 2316272 2605806 2978064 3474408 4632544 5211612 5956128 6948816 10423224 13897632 20846448 41692896