Search a number
-
+
85760328 = 23310932783
BaseRepresentation
bin1010001110010…
…01100101001000
312222101002001110
411013021211020
5133423312303
612302050320
72060644053
oct507114510
9188332043
1085760328
1144456005
12248799a0
13149c9274
14b565a9a
1577e0703
hex51c9948

85760328 has 32 divisors (see below), whose sum is σ = 216374400. Its totient is φ = 28323648.

The previous prime is 85760309. The next prime is 85760341. The reversal of 85760328 is 82306758.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13776 + ... + 19007.

It is an arithmetic number, because the mean of its divisors is an integer number (6761700).

Almost surely, 285760328 is an apocalyptic number.

It is an amenable number.

85760328 is an abundant number, since it is smaller than the sum of its proper divisors (130614072).

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

85760328 is a wasteful number, since it uses less digits than its factorization.

85760328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32901 (or 32897 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 85760328 is about 9260.6872315180. The cubic root of 85760328 is about 440.9900707860.

The spelling of 85760328 in words is "eighty-five million, seven hundred sixty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 109 218 327 436 654 872 1308 2616 32783 65566 98349 131132 196698 262264 393396 786792 3573347 7146694 10720041 14293388 21440082 28586776 42880164 85760328