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85347369 = 329483041
BaseRepresentation
bin1010001011001…
…00110000101001
312221121002120200
411011210300221
5133322103434
612245142413
72054304102
oct505446051
9187532520
1085347369
11441a3818
12246baa09
13148b3303
14b4993a9
15775d199
hex5164c29

85347369 has 6 divisors (see below), whose sum is σ = 123279546. Its totient is φ = 56898240.

The previous prime is 85347343. The next prime is 85347401. The reversal of 85347369 is 96374358.

It can be written as a sum of positive squares in only one way, i.e., 49491225 + 35856144 = 7035^2 + 5988^2 .

It is not a de Polignac number, because 85347369 - 212 = 85343273 is a prime.

It is a super-2 number, since 2×853473692 = 14568346790444322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85347329) 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 5 ways as a sum of consecutive naturals, for example, 4741512 + ... + 4741529.

It is an arithmetic number, because the mean of its divisors is an integer number (20546591).

Almost surely, 285347369 is an apocalyptic number.

It is an amenable number.

85347369 is a deficient number, since it is larger than the sum of its proper divisors (37932177).

85347369 is a wasteful number, since it uses less digits than its factorization.

85347369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9483047 (or 9483044 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 85347369 is about 9238.3639785408. The cubic root of 85347369 is about 440.2811030867.

The spelling of 85347369 in words is "eighty-five million, three hundred forty-seven thousand, three hundred sixty-nine".

Divisors: 1 3 9 9483041 28449123 85347369