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41334656 = 271131947
BaseRepresentation
bin1001110110101…
…1011110000000
32212210000111012
42131223132000
541040202111
64033540052
71011224126
oct235533600
985700435
1041334656
1121372380
1211a14628
13874319c
1456bd916
15396748b
hex276b780

41334656 has 64 divisors (see below), whose sum is σ = 92828160. Its totient is φ = 18163200.

The previous prime is 41334649. The next prime is 41334659. The reversal of 41334656 is 65643314.

41334656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41334659) 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, 43175 + ... + 44121.

It is an arithmetic number, because the mean of its divisors is an integer number (1450440).

Almost surely, 241334656 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 41334656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46414080).

41334656 is an abundant number, since it is smaller than the sum of its proper divisors (51493504).

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

41334656 is a wasteful number, since it uses less digits than its factorization.

41334656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 991 counting only the distinct ones).

The product of its digits is 25920, while the sum is 32.

The square root of 41334656 is about 6429.2033721138. The cubic root of 41334656 is about 345.7573671760.

The spelling of 41334656 in words is "forty-one million, three hundred thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 341 352 496 682 704 947 992 1364 1408 1894 1984 2728 3788 3968 5456 7576 10417 10912 15152 20834 21824 29357 30304 41668 43648 58714 60608 83336 117428 121216 166672 234856 322927 333344 469712 645854 666688 939424 1291708 1333376 1878848 2583416 3757696 5166832 10333664 20667328 41334656