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41243540 = 22513415373
BaseRepresentation
bin1001110101010…
…1001110010100
32212121101111112
42131111032110
541024243130
64031554152
71010364362
oct235251624
985541445
1041243540
112130a978
121198b958
138710880
145698632
15394a495
hex2755394

41243540 has 96 divisors (see below), whose sum is σ = 98685216. Its totient is φ = 14376960.

The previous prime is 41243519. The next prime is 41243549. The reversal of 41243540 is 4534214.

41243540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 20921476 + 20322064 = 4574^2 + 4508^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41243549) 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, 564944 + ... + 565016.

It is an arithmetic number, because the mean of its divisors is an integer number (1027971).

Almost surely, 241243540 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 41243540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49342608).

41243540 is an abundant number, since it is smaller than the sum of its proper divisors (57441676).

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

41243540 is a wasteful number, since it uses less digits than its factorization.

41243540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 41243540 is about 6422.1133593234. The cubic root of 41243540 is about 345.5031236563.

Adding to 41243540 its reverse (4534214), we get a palindrome (45777754).

The spelling of 41243540 in words is "forty-one million, two hundred forty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 41 52 53 65 73 82 106 130 146 164 205 212 260 265 292 365 410 530 533 689 730 820 949 1060 1066 1378 1460 1898 2132 2173 2665 2756 2993 3445 3796 3869 4346 4745 5330 5986 6890 7738 8692 9490 10660 10865 11972 13780 14965 15476 18980 19345 21730 28249 29930 38690 38909 43460 50297 56498 59860 77380 77818 100594 112996 141245 155636 158629 194545 201188 251485 282490 317258 389090 502970 564980 634516 778180 793145 1005940 1586290 2062177 3172580 4124354 8248708 10310885 20621770 41243540