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41678976 = 273311349
BaseRepresentation
bin1001111011111…
…1100010000000
32220102111210210
42132333202000
541132211401
64045154120
71014160023
oct236774200
986374723
1041678976
1121588039
1211b5b940
138833b21
14576d1ba
1539d44d6
hex27bf880

41678976 has 64 divisors (see below), whose sum is σ = 111384000. Its totient is φ = 13808640.

The previous prime is 41678969. The next prime is 41678977. The reversal of 41678976 is 67987614.

41678976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (48).

It is not an unprimeable number, because it can be changed into a prime (41678977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119250 + ... + 119598.

It is an arithmetic number, because the mean of its divisors is an integer number (1740375).

Almost surely, 241678976 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 41678976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55692000).

41678976 is an abundant number, since it is smaller than the sum of its proper divisors (69705024).

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

41678976 is a wasteful number, since it uses less digits than its factorization.

41678976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 665 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 41678976 is about 6455.9256501295. The cubic root of 41678976 is about 346.7147730742.

The spelling of 41678976 in words is "forty-one million, six hundred seventy-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 311 349 384 622 698 933 1047 1244 1396 1866 2094 2488 2792 3732 4188 4976 5584 7464 8376 9952 11168 14928 16752 19904 22336 29856 33504 39808 44672 59712 67008 108539 119424 134016 217078 325617 434156 651234 868312 1302468 1736624 2604936 3473248 5209872 6946496 10419744 13892992 20839488 41678976