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490100409 = 3337490591
BaseRepresentation
bin11101001101100…
…101011010111001
31021011012200101000
4131031211122321
52000431203114
6120344315213
715100533111
oct3515453271
91234180330
10490100409
11231715767
12118172b09
137a6ca156
144913a041
152d05ee09
hex1d3656b9

490100409 has 16 divisors (see below), whose sum is σ = 745699840. Its totient is φ = 317902320.

The previous prime is 490100393. The next prime is 490100417. The reversal of 490100409 is 904001094.

It is not a de Polignac number, because 490100409 - 24 = 490100393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (490100419) 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 15 ways as a sum of consecutive naturals, for example, 244297 + ... + 246294.

It is an arithmetic number, because the mean of its divisors is an integer number (46606240).

Almost surely, 2490100409 is an apocalyptic number.

It is an amenable number.

490100409 is a deficient number, since it is larger than the sum of its proper divisors (255599431).

490100409 is a wasteful number, since it uses less digits than its factorization.

490100409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490637 (or 490631 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 490100409 is about 22138.2115131282. The cubic root of 490100409 is about 788.4273628343.

The spelling of 490100409 in words is "four hundred ninety million, one hundred thousand, four hundred nine".

Divisors: 1 3 9 27 37 111 333 999 490591 1471773 4415319 13245957 18151867 54455601 163366803 490100409