Search a number
-
+
41490 = 2325461
BaseRepresentation
bin1010001000010010
32002220200
422020102
52311430
6520030
7231651
oct121022
962820
1041490
1129199
1220016
1315b67
1411198
15c460
hexa212

41490 has 24 divisors (see below), whose sum is σ = 108108. Its totient is φ = 11040.

The previous prime is 41479. The next prime is 41491. The reversal of 41490 is 9414.

It can be written as a sum of positive squares in 2 ways, for example, as 40401 + 1089 = 201^2 + 33^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 41490.

It is not an unprimeable number, because it can be changed into a prime (41491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141 + ... + 320.

241490 is an apocalyptic number.

41490 is an abundant number, since it is smaller than the sum of its proper divisors (66618).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54054).

41490 is a wasteful number, since it uses less digits than its factorization.

41490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 41490 is about 203.6909423612. The cubic root of 41490 is about 34.6189967741.

The spelling of 41490 in words is "forty-one thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 461 922 1383 2305 2766 4149 4610 6915 8298 13830 20745 41490