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86918513 = 113137832
BaseRepresentation
bin1010010111001…
…00010101110001
320001112220210012
411023210111301
5134222343023
612342544305
72103536513
oct513442561
9201486705
1086918513
1145077190
1225138095
1315013496
14b787bb3
15796d978
hex52e4571

86918513 has 24 divisors (see below), whose sum is σ = 101750016. Its totient is φ = 73504800.

The previous prime is 86918459. The next prime is 86918543. The reversal of 86918513 is 31581968.

It is not a de Polignac number, because 86918513 - 28 = 86918257 is a prime.

It is a Duffinian number.

Its product of digits (51840) is a multiple of the sum of its prime divisors (162).

It is not an unprimeable number, because it can be changed into a prime (86918543) 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 23 ways as a sum of consecutive naturals, for example, 1047170 + ... + 1047252.

It is an arithmetic number, because the mean of its divisors is an integer number (4239584).

Almost surely, 286918513 is an apocalyptic number.

86918513 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

86918513 is a deficient number, since it is larger than the sum of its proper divisors (14831503).

86918513 is a wasteful number, since it uses less digits than its factorization.

86918513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 162 counting only the distinct ones).

The product of its digits is 51840, while the sum is 41.

The square root of 86918513 is about 9323.0098680630. The cubic root of 86918513 is about 442.9663768946.

The spelling of 86918513 in words is "eighty-six million, nine hundred eighteen thousand, five hundred thirteen".

Divisors: 1 11 31 37 83 341 407 913 1147 2573 3071 6889 12617 28303 33781 75779 95201 213559 254893 1047211 2349149 2803823 7901683 86918513