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41234928 = 2437177219
BaseRepresentation
bin1001110101001…
…1000111110000
32212120221200120
42131103013300
541024004203
64031450240
71010330310
oct235230760
985527616
1041234928
1121304459
1211986980
138709987
145695440
153947b53
hex27531f0

41234928 has 80 divisors (see below), whose sum is σ = 128920320. Its totient is φ = 11086848.

The previous prime is 41234899. The next prime is 41234939. The reversal of 41234928 is 82943214.

41234928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2103 + ... + 9321.

It is an arithmetic number, because the mean of its divisors is an integer number (1611504).

Almost surely, 241234928 is an apocalyptic number.

41234928 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 41234928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64460160).

41234928 is an abundant number, since it is smaller than the sum of its proper divisors (87685392).

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

41234928 is a wasteful number, since it uses less digits than its factorization.

41234928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7254 (or 7248 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 41234928 is about 6421.4428285238. The cubic root of 41234928 is about 345.4790739907.

The spelling of 41234928 in words is "forty-one million, two hundred thirty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2856 5712 7219 14438 21657 28876 43314 50533 57752 86628 101066 115504 122723 151599 173256 202132 245446 303198 346512 368169 404264 490892 606396 736338 808528 859061 981784 1212792 1472676 1718122 1963568 2425584 2577183 2945352 3436244 5154366 5890704 6872488 10308732 13744976 20617464 41234928