Search a number
-
+
41784064 = 28723331
BaseRepresentation
bin1001111101100…
…1001100000000
32220121211221221
42133121030000
541144042224
64051324424
71015105300
oct237311400
986554857
1041784064
1121649a93
1211bb0714
13886c8ca
145799600
153a056e4
hex27d9300

41784064 has 54 divisors (see below), whose sum is σ = 97051164. Its totient is φ = 17902080.

The previous prime is 41784049. The next prime is 41784073. The reversal of 41784064 is 46048714.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 10879 + ... + 14209.

Almost surely, 241784064 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 41784064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48525582).

41784064 is an abundant number, since it is smaller than the sum of its proper divisors (55267100).

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

41784064 is an equidigital number, since it uses as much as digits as its factorization.

41784064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3361 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 41784064 is about 6464.0594056676. The cubic root of 41784064 is about 347.0059269197.

The spelling of 41784064 in words is "forty-one million, seven hundred eighty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 3331 6272 6662 12544 13324 23317 26648 46634 53296 93268 106592 163219 186536 213184 326438 373072 426368 652876 746144 852736 1305752 1492288 2611504 2984576 5223008 5969152 10446016 20892032 41784064