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41244032 = 272941271
BaseRepresentation
bin1001110101010…
…1010110000000
32212121102011202
42131111112000
541024302112
64032000332
71010365664
oct235252600
985542152
1041244032
1121310285
12119900a8
138710b6b
1456988a4
15394a6c2
hex2755580

41244032 has 64 divisors (see below), whose sum is σ = 87393600. Its totient is φ = 19353600.

The previous prime is 41244031. The next prime is 41244059. The reversal of 41244032 is 23044214.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 41243995 and 41244013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41244031) 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, 152057 + ... + 152327.

It is an arithmetic number, because the mean of its divisors is an integer number (1365525).

Almost surely, 241244032 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 41244032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43696800).

41244032 is an abundant number, since it is smaller than the sum of its proper divisors (46149568).

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

41244032 is a wasteful number, since it uses less digits than its factorization.

41244032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 41244032 is about 6422.1516643567. The cubic root of 41244032 is about 345.5044975026.

Adding to 41244032 its reverse (23044214), we get a palindrome (64288246).

It can be divided in two parts, 412 and 44032, that added together give a palindrome (44444).

The spelling of 41244032 in words is "forty-one million, two hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 29 32 41 58 64 82 116 128 164 232 271 328 464 542 656 928 1084 1189 1312 1856 2168 2378 2624 3712 4336 4756 5248 7859 8672 9512 11111 15718 17344 19024 22222 31436 34688 38048 44444 62872 76096 88888 125744 152192 177776 251488 322219 355552 502976 644438 711104 1005952 1288876 1422208 2577752 5155504 10311008 20622016 41244032