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41768192 = 28241677
BaseRepresentation
bin1001111101010…
…1010100000000
32220121001012002
42133111110000
541143040232
64051123132
71015011104
oct237252400
986531162
1041768192
1121639074
1211ba34a8
13886560b
145793904
153a00b62
hex27d5500

41768192 has 36 divisors (see below), whose sum is σ = 83842836. Its totient is φ = 20766720.

The previous prime is 41768189. The next prime is 41768197. The reversal of 41768192 is 29186714.

It can be written as a sum of positive squares in 2 ways, for example, as 38142976 + 3625216 = 6176^2 + 1904^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41768197) 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 3 ways as a sum of consecutive naturals, for example, 61358 + ... + 62034.

Almost surely, 241768192 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 41768192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41921418).

41768192 is an abundant number, since it is smaller than the sum of its proper divisors (42074644).

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

41768192 is an equidigital number, since it uses as much as digits as its factorization.

41768192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 920 counting only the distinct ones).

The product of its digits is 24192, while the sum is 38.

The square root of 41768192 is about 6462.8315775672. The cubic root of 41768192 is about 346.9619837265.

The spelling of 41768192 in words is "forty-one million, seven hundred sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 241 256 482 677 964 1354 1928 2708 3856 5416 7712 10832 15424 21664 30848 43328 61696 86656 163157 173312 326314 652628 1305256 2610512 5221024 10442048 20884096 41768192