Search a number
-
+
41361504 = 2534789103
BaseRepresentation
bin1001110111001…
…0000001100000
32212211101022120
42131302001200
541042032004
64034304240
71011365322
oct235620140
985741276
1041361504
1121390568
1211a28080
138752482
1456c9612
1539703d9
hex2772060

41361504 has 96 divisors (see below), whose sum is σ = 113218560. Its totient is φ = 13212672.

The previous prime is 41361451. The next prime is 41361539. The reversal of 41361504 is 40516314.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 401517 + ... + 401619.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 241361504 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 41361504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56609280).

41361504 is an abundant number, since it is smaller than the sum of its proper divisors (71857056).

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

41361504 is a wasteful number, since it uses less digits than its factorization.

41361504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 41361504 is about 6431.2910057002. The cubic root of 41361504 is about 345.8322106252.

Adding to 41361504 its reverse (40516314), we get a palindrome (81877818).

The spelling of 41361504 in words is "forty-one million, three hundred sixty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 89 94 96 103 141 178 188 206 267 282 309 356 376 412 534 564 618 712 752 824 1068 1128 1236 1424 1504 1648 2136 2256 2472 2848 3296 4183 4272 4512 4841 4944 8366 8544 9167 9682 9888 12549 14523 16732 18334 19364 25098 27501 29046 33464 36668 38728 50196 55002 58092 66928 73336 77456 100392 110004 116184 133856 146672 154912 200784 220008 232368 293344 401568 430849 440016 464736 861698 880032 1292547 1723396 2585094 3446792 5170188 6893584 10340376 13787168 20680752 41361504