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85289048 = 23132573191
BaseRepresentation
bin1010001010101…
…10100001011000
312221111010120122
411011112201120
5133313222143
612244012412
72053642055
oct505264130
9187433518
1085289048
1144163a19
1224691108
13148928c0
14b48202c
15774ac68
hex5156858

85289048 has 32 divisors (see below), whose sum is σ = 172942560. Its totient is φ = 39198720.

The previous prime is 85289027. The next prime is 85289053. The reversal of 85289048 is 84098258.

It is a super-3 number, since 3×852890483 (a number of 25 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 25133 + ... + 28323.

It is an arithmetic number, because the mean of its divisors is an integer number (5404455).

Almost surely, 285289048 is an apocalyptic number.

It is an amenable number.

85289048 is an abundant number, since it is smaller than the sum of its proper divisors (87653512).

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

85289048 is a wasteful number, since it uses less digits than its factorization.

85289048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3467 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 44.

The square root of 85289048 is about 9235.2069819793. The cubic root of 85289048 is about 440.1807934714.

It can be divided in two parts, 8528 and 9048, that added together give a cube (17576 = 263).

The spelling of 85289048 in words is "eighty-five million, two hundred eighty-nine thousand, forty-eight".

Divisors: 1 2 4 8 13 26 52 104 257 514 1028 2056 3191 3341 6382 6682 12764 13364 25528 26728 41483 82966 165932 331864 820087 1640174 3280348 6560696 10661131 21322262 42644524 85289048