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480434269 = 7341127269
BaseRepresentation
bin11100101000101…
…101100001011101
31020111000120220211
4130220231201131
51440442344034
6115401212421
714622424000
oct3450554135
91214016824
10480434269
11227213417
12114a91111
13786c4543
1447b41537
152c2a0d64
hex1ca2d85d

480434269 has 32 divisors (see below), whose sum is σ = 580608000. Its totient is φ = 397111680.

The previous prime is 480434267. The next prime is 480434299. The reversal of 480434269 is 962434084.

It is not a de Polignac number, because 480434269 - 21 = 480434267 is a prime.

It is a super-2 number, since 2×4804342692 = 461634173659128722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480434267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1785867 + ... + 1786135.

It is an arithmetic number, because the mean of its divisors is an integer number (18144000).

Almost surely, 2480434269 is an apocalyptic number.

480434269 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

480434269 is a deficient number, since it is larger than the sum of its proper divisors (100173731).

480434269 is a wasteful number, since it uses less digits than its factorization.

480434269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The square root of 480434269 is about 21918.8108482189. The cubic root of 480434269 is about 783.2095828453.

The spelling of 480434269 in words is "four hundred eighty million, four hundred thirty-four thousand, two hundred sixty-nine".

Divisors: 1 7 41 49 127 269 287 343 889 1883 2009 5207 6223 11029 13181 14063 34163 36449 43561 77203 92267 239141 255143 540421 1400683 1673987 1786001 3782947 9804781 11717909 68633467 480434269