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428105009 = 3153673889
BaseRepresentation
bin11001100001000…
…101110100110001
31002211112222200002
4121201011310301
51334043330014
6110251435345
713415555363
oct3141056461
91084488602
10428105009
111aa7216a2
12bb455b55
136a901b97
1440bdcd33
15278b5dde
hex19845d31

428105009 has 16 divisors (see below), whose sum is σ = 457090560. Its totient is φ = 400308480.

The previous prime is 428104997. The next prime is 428105039. The reversal of 428105009 is 900501824.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-428105009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (428105039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108137 + ... + 112025.

It is an arithmetic number, because the mean of its divisors is an integer number (28568160).

Almost surely, 2428105009 is an apocalyptic number.

It is an amenable number.

428105009 is a deficient number, since it is larger than the sum of its proper divisors (28985551).

428105009 is a wasteful number, since it uses less digits than its factorization.

428105009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4040.

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 428105009 is about 20690.6986107284. The cubic root of 428105009 is about 753.6738317480.

The spelling of 428105009 in words is "four hundred twenty-eight million, one hundred five thousand, nine".

Divisors: 1 31 53 67 1643 2077 3551 3889 110081 120559 206117 260563 6389627 8077453 13809839 428105009