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85505382 = 235175937
BaseRepresentation
bin1010001100010…
…11010101100110
312221220010100000
411012023111212
5133342133012
612252402130
72055532554
oct506132546
9187803300
1085505382
11442a1506
1224776346
131493a201
14b4dabd4
15778eddc
hex518b566

85505382 has 24 divisors (see below), whose sum is σ = 192124296. Its totient is φ = 28501632.

The previous prime is 85505363. The next prime is 85505389. The reversal of 85505382 is 28350558.

It is a super-2 number, since 2×855053822 = 14622340701931848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85505389) 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 11 ways as a sum of consecutive naturals, for example, 87483 + ... + 88454.

It is an arithmetic number, because the mean of its divisors is an integer number (8005179).

Almost surely, 285505382 is an apocalyptic number.

85505382 is an abundant number, since it is smaller than the sum of its proper divisors (106618914).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85505382 is a wasteful number, since it uses less digits than its factorization.

85505382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175954 (or 175942 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 85505382 is about 9246.9120251033. The cubic root of 85505382 is about 440.5526492343.

The spelling of 85505382 in words is "eighty-five million, five hundred five thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 175937 351874 527811 1055622 1583433 3166866 4750299 9500598 14250897 28501794 42752691 85505382