Search a number
-
+
85335008 = 2511222039
BaseRepresentation
bin1010001011000…
…01101111100000
312221120110121212
411011201233200
5133321210013
612245005252
72054223053
oct505415740
9187513555
1085335008
1144195500
12246b3828
13148aa7b5
14b494a9a
1577596a8
hex5161be0

85335008 has 36 divisors (see below), whose sum is σ = 184673160. Its totient is φ = 38786880.

The previous prime is 85334999. The next prime is 85335011. The reversal of 85335008 is 80053358.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7148 + ... + 14891.

It is an arithmetic number, because the mean of its divisors is an integer number (5129810).

Almost surely, 285335008 is an apocalyptic number.

85335008 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

85335008 is an abundant number, since it is smaller than the sum of its proper divisors (99338152).

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

85335008 is a wasteful number, since it uses less digits than its factorization.

85335008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22071 (or 22052 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 85335008 is about 9237.6949505816. The cubic root of 85335008 is about 440.2598465148.

The spelling of 85335008 in words is "eighty-five million, three hundred thirty-five thousand, eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 22039 44078 88156 176312 242429 352624 484858 705248 969716 1939432 2666719 3878864 5333438 7757728 10666876 21333752 42667504 85335008