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41341568 = 271989191
BaseRepresentation
bin1001110110110…
…1001010000000
32212210100222012
42131231022000
541040412233
64034032052
71011253232
oct235551200
985710865
1041341568
1121377594
1211a18628
138746388
1456c2252
153969548
hex276d280

41341568 has 64 divisors (see below), whose sum is σ = 88128000. Its totient is φ = 19261440.

The previous prime is 41341567. The next prime is 41341577. The reversal of 41341568 is 86514314.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (41341561) 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, 216353 + ... + 216543.

It is an arithmetic number, because the mean of its divisors is an integer number (1377000).

Almost surely, 241341568 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 41341568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44064000).

41341568 is an abundant number, since it is smaller than the sum of its proper divisors (46786432).

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

41341568 is a wasteful number, since it uses less digits than its factorization.

41341568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 301 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 41341568 is about 6429.7408968014. The cubic root of 41341568 is about 345.7766386699.

The spelling of 41341568 in words is "forty-one million, three hundred forty-one thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 89 128 152 178 191 304 356 382 608 712 764 1216 1424 1528 1691 2432 2848 3056 3382 3629 5696 6112 6764 7258 11392 12224 13528 14516 16999 24448 27056 29032 33998 54112 58064 67996 108224 116128 135992 216448 232256 271984 322981 464512 543968 645962 1087936 1291924 2175872 2583848 5167696 10335392 20670784 41341568