Search a number
-
+
41505024 = 28311173
BaseRepresentation
bin1001111001010…
…1000100000000
32220002200012010
42132111010000
541111130044
64041332520
71012533621
oct236250400
986080163
1041505024
1121479380
1211a97140
1387a28b2
145725a48
15399cbb9
hex2795100

41505024 has 144 divisors (see below), whose sum is σ = 128036160. Its totient is φ = 11837440.

The previous prime is 41504999. The next prime is 41505031. The reversal of 41505024 is 42050514.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2441464 + ... + 2441480.

It is an arithmetic number, because the mean of its divisors is an integer number (889140).

Almost surely, 241505024 is an apocalyptic number.

41505024 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 41505024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64018080).

41505024 is an abundant number, since it is smaller than the sum of its proper divisors (86531136).

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

41505024 is an equidigital number, since it uses as much as digits as its factorization.

41505024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 41505024 is about 6442.4392895859. The cubic root of 41505024 is about 346.2317491368.

Adding to 41505024 its reverse (42050514), we get a palindrome (83555538).

Subtracting 41505024 from its reverse (42050514), we obtain a triangular number (545490 = T1044).

The spelling of 41505024 in words is "forty-one million, five hundred five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 256 264 272 289 352 374 384 408 528 544 561 578 704 748 768 816 867 1056 1088 1122 1156 1408 1496 1632 1734 2112 2176 2244 2312 2816 2992 3179 3264 3468 4224 4352 4488 4624 4913 5984 6358 6528 6936 8448 8976 9248 9537 9826 11968 12716 13056 13872 14739 17952 18496 19074 19652 23936 25432 27744 29478 35904 36992 38148 39304 47872 50864 54043 55488 58956 71808 73984 76296 78608 101728 108086 110976 117912 143616 152592 157216 162129 203456 216172 221952 235824 305184 314432 324258 406912 432344 471648 610368 628864 648516 813824 864688 943296 1220736 1257728 1297032 1729376 1886592 2441472 2594064 3458752 3773184 5188128 6917504 10376256 13835008 20752512 41505024