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431480819 = 7211800521
BaseRepresentation
bin11001101101111…
…101111111110011
31010001220111102002
4121231331333303
51340424341234
6110452044215
713456345400
oct3155757763
91101814362
10431480819
11201617a20
1210060366b
136b5145c3
144143b2a7
1527d3127e
hex19b7dff3

431480819 has 12 divisors (see below), whose sum is σ = 547557048. Its totient is φ = 336218400.

The previous prime is 431480813. The next prime is 431480831. The reversal of 431480819 is 918084134.

It is not a de Polignac number, because 431480819 - 224 = 414703603 is a prime.

It is a super-2 number, since 2×4314808192 = 372351394329821522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (431480813) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399722 + ... + 400799.

It is an arithmetic number, because the mean of its divisors is an integer number (45629754).

Almost surely, 2431480819 is an apocalyptic number.

431480819 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

431480819 is a deficient number, since it is larger than the sum of its proper divisors (116076229).

431480819 is a wasteful number, since it uses less digits than its factorization.

431480819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800546 (or 800539 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 431480819 is about 20772.1163823044. The cubic root of 431480819 is about 755.6496719320.

The spelling of 431480819 in words is "four hundred thirty-one million, four hundred eighty thousand, eight hundred nineteen".

Divisors: 1 7 11 49 77 539 800521 5603647 8805731 39225529 61640117 431480819