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85768125 = 354149307
BaseRepresentation
bin1010001110010…
…11011110111101
312222101110202020
411013023132331
5133424040000
612302150353
72061005562
oct507133675
9188343666
1085768125
1144460953
12248823b9
13149cc991
14b568869
1577e2ba0
hex51cb7bd

85768125 has 40 divisors (see below), whose sum is σ = 144328800. Its totient is φ = 45288000.

The previous prime is 85768099. The next prime is 85768129. The reversal of 85768125 is 52186758.

It is not a de Polignac number, because 85768125 - 25 = 85768093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85768129) 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 39 ways as a sum of consecutive naturals, for example, 279222 + ... + 279528.

It is an arithmetic number, because the mean of its divisors is an integer number (3608220).

Almost surely, 285768125 is an apocalyptic number.

It is an amenable number.

85768125 is a deficient number, since it is larger than the sum of its proper divisors (58560675).

85768125 is a wasteful number, since it uses less digits than its factorization.

85768125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 464 counting only the distinct ones).

The product of its digits is 134400, while the sum is 42.

The square root of 85768125 is about 9261.1081950272. The cubic root of 85768125 is about 441.0034347561.

The spelling of 85768125 in words is "eighty-five million, seven hundred sixty-eight thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 75 125 149 307 375 447 625 745 921 1535 1875 2235 3725 4605 7675 11175 18625 23025 38375 45743 55875 93125 115125 137229 191875 228715 279375 575625 686145 1143575 3430725 5717875 17153625 28589375 85768125