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419316093 = 32747141613
BaseRepresentation
bin11000111111100…
…100000101111101
31002020000110112200
4120333210011331
51324321103333
6105335222113
713251061620
oct3077440575
91066013480
10419316093
111a5769429
12b8517939
1368b45641
143d991db7
1526c2bc13
hex18fe417d

419316093 has 24 divisors (see below), whose sum is σ = 706937088. Its totient is φ = 234509472.

The previous prime is 419316089. The next prime is 419316097. The reversal of 419316093 is 390613914.

419316093 is a `hidden beast` number, since 4 + 19 + 31 + 609 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (419316089) and next prime (419316097).

It is not a de Polignac number, because 419316093 - 22 = 419316089 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419316097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67846 + ... + 73767.

It is an arithmetic number, because the mean of its divisors is an integer number (29455712).

Almost surely, 2419316093 is an apocalyptic number.

It is an amenable number.

419316093 is a deficient number, since it is larger than the sum of its proper divisors (287620995).

419316093 is a wasteful number, since it uses less digits than its factorization.

419316093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141673 (or 141670 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 419316093 is about 20477.2091115953. The cubic root of 419316093 is about 748.4805343778.

The spelling of 419316093 in words is "four hundred nineteen million, three hundred sixteen thousand, ninety-three".

Divisors: 1 3 7 9 21 47 63 141 329 423 987 2961 141613 424839 991291 1274517 2973873 6655811 8921619 19967433 46590677 59902299 139772031 419316093