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41157 = 3217269
BaseRepresentation
bin1010000011000101
32002110100
422003011
52304112
6514313
7230664
oct120305
962410
1041157
1128a16
121b999
131596c
1410ddb
15c2dc
hexa0c5

41157 has 12 divisors (see below), whose sum is σ = 63180. Its totient is φ = 25728.

The previous prime is 41149. The next prime is 41161. The reversal of 41157 is 75114.

It can be written as a sum of positive squares in 2 ways, for example, as 15876 + 25281 = 126^2 + 159^2 .

It is not a de Polignac number, because 41157 - 23 = 41149 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 41157.

It is not an unprimeable number, because it can be changed into a prime (41117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19 + ... + 287.

It is an arithmetic number, because the mean of its divisors is an integer number (5265).

241157 is an apocalyptic number.

It is an amenable number.

41157 is a deficient number, since it is larger than the sum of its proper divisors (22023).

41157 is a wasteful number, since it uses less digits than its factorization.

41157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 289 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 41157 is about 202.8718807524. The cubic root of 41157 is about 34.5261301726.

The spelling of 41157 in words is "forty-one thousand, one hundred fifty-seven".

Divisors: 1 3 9 17 51 153 269 807 2421 4573 13719 41157