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86347971 = 335383727
BaseRepresentation
bin1010010010110…
…01000011000011
320000110221011000
411021121003003
5134101113341
612322423043
72065642233
oct511310303
9200427130
1086347971
1144817566
1224b01a83
1314b73898
14b679cc3
1578a98b6
hex52590c3

86347971 has 32 divisors (see below), whose sum is σ = 132088320. Its totient is φ = 55721952.

The previous prime is 86347969. The next prime is 86348011. The reversal of 86347971 is 17974368.

86347971 is a `hidden beast` number, since 8 + 634 + 7 + 9 + 7 + 1 = 666.

It is not a de Polignac number, because 86347971 - 21 = 86347969 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86347931) 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, 118410 + ... + 119136.

It is an arithmetic number, because the mean of its divisors is an integer number (4127760).

Almost surely, 286347971 is an apocalyptic number.

86347971 is a deficient number, since it is larger than the sum of its proper divisors (45740349).

86347971 is a wasteful number, since it uses less digits than its factorization.

86347971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 866 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 86347971 is about 9292.3608948426. The cubic root of 86347971 is about 441.9950229096.

The spelling of 86347971 in words is "eighty-six million, three hundred forty-seven thousand, nine hundred seventy-one".

Divisors: 1 3 9 27 53 83 159 249 477 727 747 1431 2181 2241 4399 6543 13197 19629 38531 39591 60341 115593 118773 181023 346779 543069 1040337 1629207 3198073 9594219 28782657 86347971