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41442544 = 24111359307
BaseRepresentation
bin1001111000010…
…1110011110000
32212222111111001
42132011303300
541102130134
64040131344
71012153513
oct236056360
985874431
1041442544
1121436440
1211a66b54
138780320
14570ad7a
153989414
hex2785cf0

41442544 has 80 divisors (see below), whose sum is σ = 96243840. Its totient is φ = 17038080.

The previous prime is 41442529. The next prime is 41442547. The reversal of 41442544 is 44524414.

41442544 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 (41442547) 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 15 ways as a sum of consecutive naturals, for example, 134839 + ... + 135145.

It is an arithmetic number, because the mean of its divisors is an integer number (1203048).

Almost surely, 241442544 is an apocalyptic number.

41442544 is a gapful number since it is divisible by the number (44) 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 41442544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48121920).

41442544 is an abundant number, since it is smaller than the sum of its proper divisors (54801296).

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

41442544 is a wasteful number, since it uses less digits than its factorization.

41442544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 392 counting only the distinct ones).

The product of its digits is 10240, while the sum is 28.

The square root of 41442544 is about 6437.5883683255. The cubic root of 41442544 is about 346.0579274191.

Adding to 41442544 its reverse (44524414), we get a palindrome (85966958).

The spelling of 41442544 in words is "forty-one million, four hundred forty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 59 88 104 118 143 176 208 236 286 307 472 572 614 649 767 944 1144 1228 1298 1534 2288 2456 2596 3068 3377 3991 4912 5192 6136 6754 7982 8437 10384 12272 13508 15964 16874 18113 27016 31928 33748 36226 43901 54032 63856 67496 72452 87802 134992 144904 175604 199243 235469 289808 351208 398486 470938 702416 796972 941876 1593944 1883752 2590159 3187888 3767504 5180318 10360636 20721272 41442544