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85843758 = 237111314293
BaseRepresentation
bin1010001110111…
…01111100101110
312222112022111110
411013131330232
5133434000013
612303532450
72061442230
oct507357456
9188468443
1085843758
1144502760
12248ba126
1314a28230
14b588250
15780a2c3
hex51ddf2e

85843758 has 64 divisors (see below), whose sum is σ = 230533632. Its totient is φ = 20580480.

The previous prime is 85843753. The next prime is 85843763. The reversal of 85843758 is 85734858.

It is an interprime number because it is at equal distance from previous prime (85843753) and next prime (85843763).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85843753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1141 + ... + 13152.

It is an arithmetic number, because the mean of its divisors is an integer number (3602088).

Almost surely, 285843758 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85843758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115266816).

85843758 is an abundant number, since it is smaller than the sum of its proper divisors (144689874).

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

85843758 is a wasteful number, since it uses less digits than its factorization.

85843758 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14329.

The product of its digits is 1075200, while the sum is 48.

The square root of 85843758 is about 9265.1906618267. The cubic root of 85843758 is about 441.1330268521.

Subtracting from 85843758 its reverse (85734858), we obtain a square (108900 = 3302).

The spelling of 85843758 in words is "eighty-five million, eight hundred forty-three thousand, seven hundred fifty-eight".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 6006 14293 28586 42879 85758 100051 157223 185809 200102 300153 314446 371618 471669 557427 600306 943338 1100561 1114854 1300663 2043899 2201122 2601326 3301683 3901989 4087798 6131697 6603366 7803978 12263394 14307293 28614586 42921879 85843758