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86952385 = 5131337729
BaseRepresentation
bin1010010111011…
…00100111000001
320001121122020201
411023230213001
5134224434020
612343405201
72104040332
oct513544701
9201548221
1086952385
114509a683
1225153801
1315025a20
14b796289
157978a0a
hex52ec9c1

86952385 has 8 divisors (see below), whose sum is σ = 112369320. Its totient is φ = 64210944.

The previous prime is 86952361. The next prime is 86952401. The reversal of 86952385 is 58325968.

It can be written as a sum of positive squares in 4 ways, for example, as 7225344 + 79727041 = 2688^2 + 8929^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 86952385 - 29 = 86951873 is a prime.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 668800 + ... + 668929.

It is an arithmetic number, because the mean of its divisors is an integer number (14046165).

Almost surely, 286952385 is an apocalyptic number.

It is an amenable number.

86952385 is a deficient number, since it is larger than the sum of its proper divisors (25416935).

86952385 is a wasteful number, since it uses less digits than its factorization.

86952385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337747.

The product of its digits is 518400, while the sum is 46.

The square root of 86952385 is about 9324.8262718401. The cubic root of 86952385 is about 443.0239105086.

The spelling of 86952385 in words is "eighty-six million, nine hundred fifty-two thousand, three hundred eighty-five".

Divisors: 1 5 13 65 1337729 6688645 17390477 86952385