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41000 = 235341
BaseRepresentation
bin1010000000101000
32002020112
422000220
52303000
6513452
7230351
oct120050
962215
1041000
1128893
121b888
131587b
1410d28
15c235
hexa028

41000 has 32 divisors (see below), whose sum is σ = 98280. Its totient is φ = 16000.

The previous prime is 40993. The next prime is 41011. The reversal of 41000 is 14.

It can be written as a sum of positive squares in 4 ways, for example, as 3364 + 37636 = 58^2 + 194^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

41000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 980 + ... + 1020.

241000 is an apocalyptic number.

41000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49140).

41000 is an abundant number, since it is smaller than the sum of its proper divisors (57280).

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

41000 is a wasteful number, since it uses less digits than its factorization.

41000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 41000 is about 202.4845673132. The cubic root of 41000 is about 34.4821724038.

Adding to 41000 its reverse (14), we get a palindrome (41014).

The spelling of 41000 in words is "forty-one thousand", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 820 1000 1025 1640 2050 4100 5125 8200 10250 20500 41000