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85732848 = 24323716091
BaseRepresentation
bin1010001110000…
…10110111110000
312222022200100200
411013002313300
5133421422343
612301315200
72060500665
oct507026760
9188280320
1085732848
11444373a3
1224865b00
13149b98c6
14b559a6c
1577d74d3
hex51c2df0

85732848 has 60 divisors (see below), whose sum is σ = 246432888. Its totient is φ = 27803520.

The previous prime is 85732831. The next prime is 85732849. The reversal of 85732848 is 84823758.

It is a super-2 number, since 2×857328482 = 14700242452382208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85732849) 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, 2718 + ... + 13373.

Almost surely, 285732848 is an apocalyptic number.

It is an amenable number.

85732848 is an abundant number, since it is smaller than the sum of its proper divisors (160700040).

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

85732848 is a wasteful number, since it uses less digits than its factorization.

85732848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16142 (or 16133 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 85732848 is about 9259.2034214613. The cubic root of 85732848 is about 440.9429639165.

The spelling of 85732848 in words is "eighty-five million, seven hundred thirty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 16091 32182 48273 64364 96546 128728 144819 193092 257456 289638 386184 579276 595367 772368 1158552 1190734 1786101 2317104 2381468 3572202 4762936 5358303 7144404 9525872 10716606 14288808 21433212 28577616 42866424 85732848