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85541309 = 721745741
BaseRepresentation
bin1010001100101…
…00000110111101
312221221221121122
411012110012331
5133344310214
612253240325
72056042400
oct506240675
9187857548
1085541309
11443164a7
12247930a5
1314950679
14b509d37
15779a88e
hex51941bd

85541309 has 6 divisors (see below), whose sum is σ = 99507294. Its totient is φ = 73321080.

The previous prime is 85541303. The next prime is 85541317. The reversal of 85541309 is 90314558.

It can be written as a sum of positive squares in only one way, i.e., 57684025 + 27857284 = 7595^2 + 5278^2 .

It is not a de Polignac number, because 85541309 - 212 = 85537213 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85541303) 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 5 ways as a sum of consecutive naturals, for example, 872822 + ... + 872919.

It is an arithmetic number, because the mean of its divisors is an integer number (16584549).

Almost surely, 285541309 is an apocalyptic number.

It is an amenable number.

85541309 is a deficient number, since it is larger than the sum of its proper divisors (13965985).

85541309 is a wasteful number, since it uses less digits than its factorization.

85541309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745755 (or 1745748 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 85541309 is about 9248.8544696087. The cubic root of 85541309 is about 440.6143432796.

The spelling of 85541309 in words is "eighty-five million, five hundred forty-one thousand, three hundred nine".

Divisors: 1 7 49 1745741 12220187 85541309