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41124320 = 255298863
BaseRepresentation
bin1001110011100…
…0000111100000
32212101022221222
42130320013200
541011434240
64025234212
71006356656
oct234700740
985338858
1041124320
1121239346
1211932968
13869b523
145666dd6
153924eb5
hex27381e0

41124320 has 48 divisors (see below), whose sum is σ = 100517760. Its totient is φ = 15880704.

The previous prime is 41124313. The next prime is 41124323. The reversal of 41124320 is 2342114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41124323) 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 7 ways as a sum of consecutive naturals, for example, 209 + ... + 9071.

It is an arithmetic number, because the mean of its divisors is an integer number (2094120).

Almost surely, 241124320 is an apocalyptic number.

41124320 is a gapful number since it is divisible by the number (40) 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 41124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50258880).

41124320 is an abundant number, since it is smaller than the sum of its proper divisors (59393440).

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

41124320 is a wasteful number, since it uses less digits than its factorization.

41124320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8907 (or 8899 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 41124320 is about 6412.8246506512. The cubic root of 41124320 is about 345.1698946178.

Adding to 41124320 its reverse (2342114), we get a palindrome (43466434).

The spelling of 41124320 in words is "forty-one million, one hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 8863 17726 35452 44315 70904 88630 141808 177260 257027 283616 354520 514054 709040 1028108 1285135 1418080 2056216 2570270 4112432 5140540 8224864 10281080 20562160 41124320