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8009431 = 1719137181
BaseRepresentation
bin11110100011011011010111
3120001220212121
4132203123113
54022300211
6443400411
7125036053
oct36433327
916056777
108009431
114580671
122823107
131875811
1410c6c63
15a83271
hex7a36d7

8009431 has 16 divisors (see below), whose sum is σ = 9041760. Its totient is φ = 7050240.

The previous prime is 8009399. The next prime is 8009453. The reversal of 8009431 is 1349008.

It is not a de Polignac number, because 8009431 - 25 = 8009399 is a prime.

It is a super-2 number, since 2×80094312 = 128301969887522, which contains 22 as substring.

It is a Duffinian number.

8009431 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 8009396 and 8009405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8009461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44161 + ... + 44341.

It is an arithmetic number, because the mean of its divisors is an integer number (565110).

Almost surely, 28009431 is an apocalyptic number.

8009431 is a deficient number, since it is larger than the sum of its proper divisors (1032329).

8009431 is a wasteful number, since it uses less digits than its factorization.

8009431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354.

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 8009431 is about 2830.0938146994. The cubic root of 8009431 is about 200.0785608036.

The spelling of 8009431 in words is "eight million, nine thousand, four hundred thirty-one".

Divisors: 1 17 19 137 181 323 2329 2603 3077 3439 24797 44251 58463 421549 471143 8009431