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85936445 = 5721747439
BaseRepresentation
bin1010001111101…
…00100100111101
312222201000122022
411013310210331
5133444431240
612305525525
72062306400
oct507644475
9188630568
1085936445
1144566361
12249438a5
1314a5b48a
14b5add37
1578279b5
hex51f493d

85936445 has 48 divisors (see below), whose sum is σ = 130014720. Its totient is φ = 54157824.

The previous prime is 85936429. The next prime is 85936463. The reversal of 85936445 is 54463958.

It is not a de Polignac number, because 85936445 - 24 = 85936429 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85936396 and 85936405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195536 + ... + 195974.

It is an arithmetic number, because the mean of its divisors is an integer number (2708640).

Almost surely, 285936445 is an apocalyptic number.

85936445 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

85936445 is a deficient number, since it is larger than the sum of its proper divisors (44078275).

85936445 is a wasteful number, since it uses less digits than its factorization.

85936445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 515 counting only the distinct ones).

The product of its digits is 518400, while the sum is 44.

The square root of 85936445 is about 9270.1912062265. The cubic root of 85936445 is about 441.2917360817.

The spelling of 85936445 in words is "eighty-five million, nine hundred thirty-six thousand, four hundred forty-five".

Divisors: 1 5 7 17 35 47 49 85 119 235 245 329 439 595 799 833 1645 2195 2303 3073 3995 4165 5593 7463 11515 15365 20633 21511 27965 37315 39151 52241 103165 107555 144431 195755 261205 350761 365687 722155 1011017 1753805 1828435 2455327 5055085 12276635 17187289 85936445