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85348395 = 32511172421
BaseRepresentation
bin1010001011001…
…01000000101011
312221121010222200
411011211000223
5133322122040
612245151243
72054310066
oct505450053
9187533880
1085348395
11441a4570
12246bb523
13148b3912
14b4998dd
15775d630
hex516502b

85348395 has 24 divisors (see below), whose sum is σ = 161386992. Its totient is φ = 41380800.

The previous prime is 85348357. The next prime is 85348427. The reversal of 85348395 is 59384358.

It is a happy number.

85348395 is a `hidden beast` number, since 85 + 3 + 483 + 95 = 666.

It is not a de Polignac number, because 85348395 - 216 = 85282859 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 85348395.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 85716 + ... + 86705.

It is an arithmetic number, because the mean of its divisors is an integer number (6724458).

Almost surely, 285348395 is an apocalyptic number.

85348395 is a deficient number, since it is larger than the sum of its proper divisors (76038597).

85348395 is a wasteful number, since it uses less digits than its factorization.

85348395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172443 (or 172440 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 85348395 is about 9238.4195076864. The cubic root of 85348395 is about 440.2828673536.

The spelling of 85348395 in words is "eighty-five million, three hundred forty-eight thousand, three hundred ninety-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 172421 517263 862105 1551789 1896631 2586315 5689893 7758945 9483155 17069679 28449465 85348395