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8742471 = 3173741113
BaseRepresentation
bin100001010110…
…011001000111
3121110011102020
4201112121013
54214224341
6511214223
7134211153
oct41263107
917404366
108742471
114a31391
122b17373
131a7137a
141238063
15b7a566
hex856647

8742471 has 32 divisors (see below), whose sum is σ = 13099968. Its totient is φ = 5160960.

The previous prime is 8742469. The next prime is 8742493. The reversal of 8742471 is 1742478.

8742471 is a nontrivial binomial coefficient, being equal to C(4182, 2).

It is not a de Polignac number, because 8742471 - 21 = 8742469 is a prime.

It is a super-3 number, since 3×87424713 (a number of 22 digits) contains 333 as substring.

8742471 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8742401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77311 + ... + 77423.

It is an arithmetic number, because the mean of its divisors is an integer number (409374).

Almost surely, 28742471 is an apocalyptic number.

8742471 is the 4181-st triangular number and also the 2091-st hexagonal number.

8742471 is a deficient number, since it is larger than the sum of its proper divisors (4357497).

8742471 is a wasteful number, since it uses less digits than its factorization.

8742471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211.

The product of its digits is 12544, while the sum is 33.

The square root of 8742471 is about 2956.7669843936. The cubic root of 8742471 is about 206.0051448742.

The spelling of 8742471 in words is "eight million, seven hundred forty-two thousand, four hundred seventy-one".

Divisors: 1 3 17 37 41 51 111 113 123 339 629 697 1517 1887 1921 2091 4181 4551 4633 5763 12543 13899 25789 71077 77367 78761 171421 213231 236283 514263 2914157 8742471