Search a number
-
+
41538465 = 3251922557
BaseRepresentation
bin1001111001110…
…1001110100001
32220011101001200
42132131032201
541113212330
64042151413
71013033253
oct236351641
986141050
1041538465
11214a1511
1211ab2569
1387b4b97
145733cd3
1539a7a60
hex279d3a1

41538465 has 36 divisors (see below), whose sum is σ = 76018644. Its totient is φ = 20979648.

The previous prime is 41538373. The next prime is 41538467. The reversal of 41538465 is 56483514.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 16378209 + 25160256 = 4047^2 + 5016^2 .

It is not a de Polignac number, because 41538465 - 219 = 41014177 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41538467) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14967 + ... + 17523.

It is an arithmetic number, because the mean of its divisors is an integer number (2111629).

Almost surely, 241538465 is an apocalyptic number.

41538465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41538465 is a deficient number, since it is larger than the sum of its proper divisors (34480179).

41538465 is a wasteful number, since it uses less digits than its factorization.

41538465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606 (or 2584 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 41538465 is about 6445.0341348980. The cubic root of 41538465 is about 346.3247115994.

The spelling of 41538465 in words is "forty-one million, five hundred thirty-eight thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 361 855 1083 1805 2557 3249 5415 7671 12785 16245 23013 38355 48583 115065 145749 242915 437247 728745 923077 2186235 2769231 4615385 8307693 13846155 41538465