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41329820 = 22573189107
BaseRepresentation
bin1001110110101…
…0010010011100
32212202202212002
42131222102130
541040023240
64033501432
71011204050
oct235522234
985682762
1041329820
1121369784
1211a11878
138740c1c
1456bbc60
153965d15
hex276a49c

41329820 has 96 divisors (see below), whose sum is σ = 104509440. Its totient is φ = 13432320.

The previous prime is 41329819. The next prime is 41329823. The reversal of 41329820 is 2892314.

41329820 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 not an unprimeable number, because it can be changed into a prime (41329823) 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 31 ways as a sum of consecutive naturals, for example, 386207 + ... + 386313.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640).

Almost surely, 241329820 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 41329820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52254720).

41329820 is an abundant number, since it is smaller than the sum of its proper divisors (63179620).

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

41329820 is a wasteful number, since it uses less digits than its factorization.

41329820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 41329820 is about 6428.8272647505. The cubic root of 41329820 is about 345.7438825442.

The spelling of 41329820 in words is "forty-one million, three hundred twenty-nine thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 89 107 124 140 155 178 214 217 310 356 428 434 445 535 620 623 749 868 890 1070 1085 1246 1498 1780 2140 2170 2492 2759 2996 3115 3317 3745 4340 5518 6230 6634 7490 9523 11036 12460 13268 13795 14980 16585 19046 19313 23219 27590 33170 38092 38626 46438 47615 55180 66340 66661 77252 92876 95230 96565 116095 133322 190460 193130 232190 266644 295213 333305 386260 464380 590426 666610 1180852 1333220 1476065 2066491 2952130 4132982 5904260 8265964 10332455 20664910 41329820