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2002481 = 13217241
BaseRepresentation
bin111101000111000110001
310202201212222
413220320301
51003034411
6110530425
723010065
oct7507061
93681788
102002481
111148548
12806a15
13551600
143a1aa5
152984db
hex1e8e31

2002481 has 18 divisors (see below), whose sum is σ = 2359602. Its totient is φ = 1697280.

The previous prime is 2002471. The next prime is 2002523. The reversal of 2002481 is 1842002.

It can be written as a sum of positive squares in 9 ways, for example, as 970225 + 1032256 = 985^2 + 1016^2 .

It is not a de Polignac number, because 2002481 - 26 = 2002417 is a prime.

It is a super-2 number, since 2×20024812 = 8019860310722, which contains 22 as substring.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48821 + ... + 48861.

It is an arithmetic number, because the mean of its divisors is an integer number (131089).

22002481 is an apocalyptic number.

It is an amenable number.

2002481 is a deficient number, since it is larger than the sum of its proper divisors (357121).

2002481 is a wasteful number, since it uses less digits than its factorization.

2002481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 71 counting only the distinct ones).

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

The square root of 2002481 is about 1415.0904564727. The cubic root of 2002481 is about 126.0441811973.

Adding to 2002481 its reverse (1842002), we get a palindrome (3844483).

The spelling of 2002481 in words is "two million, two thousand, four hundred eighty-one".

Divisors: 1 13 17 41 169 221 289 533 697 2873 3757 6929 9061 11849 48841 117793 154037 2002481