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85773728 = 2559181251
BaseRepresentation
bin1010001110011…
…00110110100000
312222101202102202
411013030312200
5133424224403
612302232332
72061031115
oct507146640
9188352382
1085773728
1144465087
12248856a8
1314a023b1
14b56a90c
1577e4688
hex51ccda0

85773728 has 48 divisors (see below), whose sum is σ = 173365920. Its totient is φ = 41760000.

The previous prime is 85773719. The next prime is 85773767. The reversal of 85773728 is 82737758.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 341603 + ... + 341853.

It is an arithmetic number, because the mean of its divisors is an integer number (3611790).

Almost surely, 285773728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85773728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86682960).

85773728 is an abundant number, since it is smaller than the sum of its proper divisors (87592192).

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

85773728 is a wasteful number, since it uses less digits than its factorization.

85773728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 493 counting only the distinct ones).

The product of its digits is 658560, while the sum is 47.

The square root of 85773728 is about 9261.4106916819. The cubic root of 85773728 is about 441.0130377348.

The spelling of 85773728 in words is "eighty-five million, seven hundred seventy-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 59 118 181 236 251 362 472 502 724 944 1004 1448 1888 2008 2896 4016 5792 8032 10679 14809 21358 29618 42716 45431 59236 85432 90862 118472 170864 181724 236944 341728 363448 473888 726896 1453792 2680429 5360858 10721716 21443432 42886864 85773728