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409430047 = 13243103547
BaseRepresentation
bin11000011001110…
…110100000011111
31001112102012102211
4120121312200133
51314303230142
6104343301251
713101045415
oct3031664037
91045365384
10409430047
111a0126944
12b514a827
1366a93900
143c53b2b5
1525e27917
hex1867681f

409430047 has 24 divisors (see below), whose sum is σ = 458899584. Its totient is φ = 364893984.

The previous prime is 409430039. The next prime is 409430053. The reversal of 409430047 is 740034904.

It is not a de Polignac number, because 409430047 - 23 = 409430039 is a prime.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409430017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 748228 + ... + 748774.

It is an arithmetic number, because the mean of its divisors is an integer number (19120816).

Almost surely, 2409430047 is an apocalyptic number.

409430047 is a deficient number, since it is larger than the sum of its proper divisors (49469537).

409430047 is a wasteful number, since it uses less digits than its factorization.

409430047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 409430047 is about 20234.3778505789. The cubic root of 409430047 is about 742.5514840712.

The spelling of 409430047 in words is "four hundred nine million, four hundred thirty thousand, forty-seven".

Divisors: 1 13 43 103 169 547 559 1339 4429 7111 7267 17407 23521 56341 57577 92443 305773 732433 748501 2422663 3975049 9521629 31494619 409430047