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41364736 = 28741563
BaseRepresentation
bin1001110111001…
…0110100000000
32212211112202021
42131302310000
541042132421
64034331224
71011410620
oct235626400
985745667
1041364736
1121392a36
1211a29b14
138753a9a
1456ca880
153971341
hex2772d00

41364736 has 72 divisors (see below), whose sum is σ = 96836544. Its totient is φ = 17264640.

The previous prime is 41364733. The next prime is 41364749. The reversal of 41364736 is 63746314.

It is a super-2 number, since 2×413647362 = 3422082768699392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41364733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73191 + ... + 73753.

It is an arithmetic number, because the mean of its divisors is an integer number (1344952).

Almost surely, 241364736 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 41364736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48418272).

41364736 is an abundant number, since it is smaller than the sum of its proper divisors (55471808).

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

41364736 is an equidigital number, since it uses as much as digits as its factorization.

41364736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 613 counting only the distinct ones).

The product of its digits is 36288, while the sum is 34.

The square root of 41364736 is about 6431.5422722703. The cubic root of 41364736 is about 345.8412182006.

The spelling of 41364736 in words is "forty-one million, three hundred sixty-four thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 224 256 287 328 448 563 574 656 896 1126 1148 1312 1792 2252 2296 2624 3941 4504 4592 5248 7882 9008 9184 10496 15764 18016 18368 23083 31528 36032 36736 46166 63056 72064 73472 92332 126112 144128 161581 184664 252224 323162 369328 504448 646324 738656 1008896 1292648 1477312 2585296 2954624 5170592 5909248 10341184 20682368 41364736