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41852032 = 27378837
BaseRepresentation
bin1001111110100…
…1110010000000
32220202022012021
42133221302000
541203231112
64053011224
71015510405
oct237516200
986668167
1041852032
1121696062
1212023b14
138894821
1457b62ac
153a1a907
hex27e9c80

41852032 has 32 divisors (see below), whose sum is σ = 85640220. Its totient is φ = 20358144.

The previous prime is 41852009. The next prime is 41852047. The reversal of 41852032 is 23025814.

It can be written as a sum of positive squares in 2 ways, for example, as 28132416 + 13719616 = 5304^2 + 3704^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 41851988 and 41852006.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 318 + ... + 9154.

Almost surely, 241852032 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 41852032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42820110).

41852032 is an abundant number, since it is smaller than the sum of its proper divisors (43788188).

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

41852032 is an equidigital number, since it uses as much as digits as its factorization.

41852032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8888 (or 8876 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 41852032 is about 6469.3146468540. The cubic root of 41852032 is about 347.1939772575.

Adding to 41852032 its reverse (23025814), we get a palindrome (64877846).

The spelling of 41852032 in words is "forty-one million, eight hundred fifty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 4736 8837 17674 35348 70696 141392 282784 326969 565568 653938 1131136 1307876 2615752 5231504 10463008 20926016 41852032