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41768608 = 257263709
BaseRepresentation
bin1001111101010…
…1011010100000
32220121001202111
42133111122200
541143043413
64051125104
71015012240
oct237253240
986531674
1041768608
1121639412
1211ba3794
13886586b
145793b20
153a00d3d
hex27d56a0

41768608 has 48 divisors (see below), whose sum is σ = 94469760. Its totient is φ = 17807616.

The previous prime is 41768603. The next prime is 41768647. The reversal of 41768608 is 80686714.

41768608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×417686082 = 3489233228515328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41768603) 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, 58558 + ... + 59266.

It is an arithmetic number, because the mean of its divisors is an integer number (1968120).

Almost surely, 241768608 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 41768608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47234880).

41768608 is an abundant number, since it is smaller than the sum of its proper divisors (52701152).

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

41768608 is a wasteful number, since it uses less digits than its factorization.

41768608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 41768608 is about 6462.8637615224. The cubic root of 41768608 is about 346.9631356054.

The spelling of 41768608 in words is "forty-one million, seven hundred sixty-eight thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 263 526 709 1052 1418 1841 2104 2836 3682 4208 4963 5672 7364 8416 9926 11344 14728 19852 22688 29456 39704 58912 79408 158816 186467 372934 745868 1305269 1491736 2610538 2983472 5221076 5966944 10442152 20884304 41768608