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41314608 = 24321132539
BaseRepresentation
bin1001110110011…
…0100100110000
32212201222222200
42131212210300
541034031413
64033303200
71011111516
oct235464460
985658880
1041314608
1121359305
1211a04b00
13873701a
1456b64b6
153961573
hex2766930

41314608 has 60 divisors (see below), whose sum is σ = 116692680. Its totient is φ = 13644288.

The previous prime is 41314561. The next prime is 41314627. The reversal of 41314608 is 80641314.

41314608 is a `hidden beast` number, since 41 + 3 + 14 + 608 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15003 + ... + 17541.

It is an arithmetic number, because the mean of its divisors is an integer number (1944878).

Almost surely, 241314608 is an apocalyptic number.

41314608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41314608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58346340).

41314608 is an abundant number, since it is smaller than the sum of its proper divisors (75378072).

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

41314608 is a wasteful number, since it uses less digits than its factorization.

41314608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 41314608 is about 6427.6440473940. The cubic root of 41314608 is about 345.7014587661.

The spelling of 41314608 in words is "forty-one million, three hundred fourteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2539 2712 4068 5078 5424 7617 8136 10156 15234 16272 20312 22851 30468 40624 45702 60936 91404 121872 182808 286907 365616 573814 860721 1147628 1721442 2295256 2582163 3442884 4590512 5164326 6885768 10328652 13771536 20657304 41314608