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41541136 = 24713103277
BaseRepresentation
bin1001111001110…
…1111000010000
32220011111201121
42132131320100
541113304021
64042212024
71013044120
oct236357020
986144647
1041541136
11214a351a
1211ab4014
1387b6170
145734c80
1539a8741
hex279de10

41541136 has 80 divisors (see below), whose sum is σ = 100382464. Its totient is φ = 16215552.

The previous prime is 41541131. The next prime is 41541167. The reversal of 41541136 is 63114514.

41541136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 41541136.

It is not an unprimeable number, because it can be changed into a prime (41541131) 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, 149830 + ... + 150106.

Almost surely, 241541136 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 41541136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50191232).

41541136 is an abundant number, since it is smaller than the sum of its proper divisors (58841328).

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

41541136 is a wasteful number, since it uses less digits than its factorization.

41541136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 402 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 41541136 is about 6445.2413453648. The cubic root of 41541136 is about 346.3321345465.

The spelling of 41541136 in words is "forty-one million, five hundred forty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 103 104 112 182 206 208 277 364 412 554 721 728 824 1108 1339 1442 1456 1648 1939 2216 2678 2884 3601 3878 4432 5356 5768 7202 7756 9373 10712 11536 14404 15512 18746 21424 25207 28531 28808 31024 37492 50414 57062 57616 74984 100828 114124 149968 199717 201656 228248 370903 399434 403312 456496 741806 798868 1483612 1597736 2596321 2967224 3195472 5192642 5934448 10385284 20770568 41541136