Search a number
-
+
41360148 = 223229173229
BaseRepresentation
bin1001110111000…
…1101100010100
32212211022110100
42131301230110
541042011043
64034254100
71011361344
oct235615424
985738410
1041360148
112138a545
1211a27330
13875197b
1456c8d24
15396ecd3
hex2771b14

41360148 has 72 divisors (see below), whose sum is σ = 109254600. Its totient is φ = 13176576.

The previous prime is 41360113. The next prime is 41360153. The reversal of 41360148 is 84106314.

41360148 is a `hidden beast` number, since 4 + 13 + 601 + 48 = 666.

41360148 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 4 ways, for example, as 25583364 + 15776784 = 5058^2 + 3972^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 180498 + ... + 180726.

It is an arithmetic number, because the mean of its divisors is an integer number (1517425).

Almost surely, 241360148 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 41360148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54627300).

41360148 is an abundant number, since it is smaller than the sum of its proper divisors (67894452).

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

41360148 is a wasteful number, since it uses less digits than its factorization.

41360148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 41360148 is about 6431.1855827678. The cubic root of 41360148 is about 345.8284313171.

The spelling of 41360148 in words is "forty-one million, three hundred sixty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 173 174 229 261 346 348 458 519 522 687 692 916 1038 1044 1374 1557 2061 2076 2748 3114 4122 5017 6228 6641 8244 10034 13282 15051 19923 20068 26564 30102 39617 39846 45153 59769 60204 79234 79692 90306 118851 119538 158468 180612 237702 239076 356553 475404 713106 1148893 1426212 2297786 3446679 4595572 6893358 10340037 13786716 20680074 41360148