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490008141 = 32717344959
BaseRepresentation
bin11101001101001…
…110111001001101
31021011000222210200
4131031032321031
52000420230031
6120342324113
715100000110
oct3515167115
91234028720
10490008141
11231662407
12118129639
137a69715c
1449114577
152d0428e6
hex1d34ee4d

490008141 has 24 divisors (see below), whose sum is σ = 813596160. Its totient is φ = 278379936.

The previous prime is 490008107. The next prime is 490008143. The reversal of 490008141 is 141800094.

It is not a de Polignac number, because 490008141 - 29 = 490007629 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490008143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11581 + ... + 33378.

It is an arithmetic number, because the mean of its divisors is an integer number (33899840).

Almost surely, 2490008141 is an apocalyptic number.

It is an amenable number.

490008141 is a deficient number, since it is larger than the sum of its proper divisors (323588019).

490008141 is a wasteful number, since it uses less digits than its factorization.

490008141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45145 (or 45142 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 490008141 is about 22136.1275068608. The cubic root of 490008141 is about 788.3778823740.

The spelling of 490008141 in words is "four hundred ninety million, eight thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 63 173 519 1211 1557 3633 10899 44959 134877 314713 404631 944139 2832417 7777907 23333721 54445349 70001163 163336047 490008141