Search a number
-
+
85887776 = 2513206461
BaseRepresentation
bin1010001111010…
…00101100100000
312222121112212202
411013220230200
5133441402101
612304512332
72062014452
oct507505440
9188545782
1085887776
1144532837
122491b6a8
1314a42290
14b59a2d2
15781836b
hex51e8b20

85887776 has 24 divisors (see below), whose sum is σ = 182099484. Its totient is φ = 39640320.

The previous prime is 85887751. The next prime is 85887779. The reversal of 85887776 is 67778858.

It can be written as a sum of positive squares in 2 ways, for example, as 79637776 + 6250000 = 8924^2 + 2500^2 .

It is not an unprimeable number, because it can be changed into a prime (85887779) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 102815 + ... + 103646.

Almost surely, 285887776 is an apocalyptic number.

It is an amenable number.

85887776 is an abundant number, since it is smaller than the sum of its proper divisors (96211708).

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

85887776 is a wasteful number, since it uses less digits than its factorization.

85887776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206484 (or 206476 counting only the distinct ones).

The product of its digits is 5268480, while the sum is 56.

The square root of 85887776 is about 9267.5658076973. The cubic root of 85887776 is about 441.2084137178.

The spelling of 85887776 in words is "eighty-five million, eight hundred eighty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 206461 412922 825844 1651688 2683993 3303376 5367986 6606752 10735972 21471944 42943888 85887776