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85727394 = 23223533907
BaseRepresentation
bin1010001110000…
…01100010100010
312222022101212200
411013001202202
5133421234034
612301234030
72060446044
oct507014242
9188271780
1085727394
1144433295
1224862916
13149b728c
14b557a94
1577d5a99
hex51c18a2

85727394 has 48 divisors (see below), whose sum is σ = 197525952. Its totient is φ = 26810784.

The previous prime is 85727377. The next prime is 85727399. The reversal of 85727394 is 49372758.

85727394 is a `hidden beast` number, since 8 + 572 + 73 + 9 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (85727399) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19989 + ... + 23895.

It is an arithmetic number, because the mean of its divisors is an integer number (4115124).

Almost surely, 285727394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85727394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98762976).

85727394 is an abundant number, since it is smaller than the sum of its proper divisors (111798558).

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

85727394 is a wasteful number, since it uses less digits than its factorization.

85727394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3991 (or 3988 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 85727394 is about 9258.9088990010. The cubic root of 85727394 is about 440.9336133428.

The spelling of 85727394 in words is "eighty-five million, seven hundred twenty-seven thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 18 23 46 53 69 106 138 159 207 318 414 477 954 1219 2438 3657 3907 7314 7814 10971 11721 21942 23442 35163 70326 89861 179722 207071 269583 414142 539166 621213 808749 1242426 1617498 1863639 3727278 4762633 9525266 14287899 28575798 42863697 85727394