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41480 = 2351761
BaseRepresentation
bin1010001000001000
32002220022
422020020
52311410
6520012
7231635
oct121010
962808
1041480
112918a
1220008
1315b5a
141118c
15c455
hexa208

41480 has 32 divisors (see below), whose sum is σ = 100440. Its totient is φ = 15360.

The previous prime is 41479. The next prime is 41491. The reversal of 41480 is 8414.

It is a happy number.

41480 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 4 ways, for example, as 27556 + 13924 = 166^2 + 118^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 650 + ... + 710.

241480 is an apocalyptic number.

41480 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 41480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50220).

41480 is an abundant number, since it is smaller than the sum of its proper divisors (58960).

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

41480 is a wasteful number, since it uses less digits than its factorization.

41480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 41480 is about 203.6663938896. Note that the first 3 decimals coincide. The cubic root of 41480 is about 34.6162152381.

Adding to 41480 its reverse (8414), we get a palindrome (49894).

It can be divided in two parts, 414 and 80, that added together give a palindrome (494).

The spelling of 41480 in words is "forty-one thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 61 68 85 122 136 170 244 305 340 488 610 680 1037 1220 2074 2440 4148 5185 8296 10370 20740 41480