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41985 = 335311
BaseRepresentation
bin1010010000000001
32010121000
422100001
52320420
6522213
7233256
oct122001
963530
1041985
11295a9
1220369
1316158
141142d
15c690
hexa401

41985 has 16 divisors (see below), whose sum is σ = 74880. Its totient is φ = 22320.

The previous prime is 41983. The next prime is 41999. The reversal of 41985 is 58914.

It is not a de Polignac number, because 41985 - 21 = 41983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (41981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21 + ... + 290.

It is an arithmetic number, because the mean of its divisors is an integer number (4680).

It is a Proth number, since it is equal to 41 ⋅ 210 + 1 and 41 < 210.

241985 is an apocalyptic number.

41985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41985 is a deficient number, since it is larger than the sum of its proper divisors (32895).

41985 is a wasteful number, since it uses less digits than its factorization.

41985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 319 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 41985 is about 204.9024157984. The cubic root of 41985 is about 34.7561278292.

The spelling of 41985 in words is "forty-one thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 135 311 933 1555 2799 4665 8397 13995 41985