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86787261 = 33111717189
BaseRepresentation
bin1010010110001…
…00010010111101
320001022020202000
411023010102331
5134204143021
612340052513
72102452041
oct513042275
9201266660
1086787261
1144a97610
1225094139
1314c98812
14b752021
157944b26
hex52c44bd

86787261 has 32 divisors (see below), whose sum is σ = 148521600. Its totient is φ = 49501440.

The previous prime is 86787251. The next prime is 86787263. The reversal of 86787261 is 16278768.

It is not a de Polignac number, because 86787261 - 25 = 86787229 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86787263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3546 + ... + 13643.

It is an arithmetic number, because the mean of its divisors is an integer number (4641300).

Almost surely, 286787261 is an apocalyptic number.

It is an amenable number.

86787261 is a deficient number, since it is larger than the sum of its proper divisors (61734339).

86787261 is a wasteful number, since it uses less digits than its factorization.

86787261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17226 (or 17220 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 86787261 is about 9315.9680656387. The cubic root of 86787261 is about 442.7432962547.

The spelling of 86787261 in words is "eighty-six million, seven hundred eighty-seven thousand, two hundred sixty-one".

Divisors: 1 3 9 11 17 27 33 51 99 153 187 297 459 561 1683 5049 17189 51567 154701 189079 292213 464103 567237 876639 1701711 2629917 3214343 5105133 7889751 9643029 28929087 86787261