Search a number
-
+
85032728 = 23114632087
BaseRepresentation
bin1010001000101…
…11111100011000
312221000002222022
411010113330120
5133232021403
612234314012
72051523554
oct504277430
9187002868
1085032728
1143aa9390
1224588908
1314803031
14b416864
1576e9d38
hex5117f18

85032728 has 32 divisors (see below), whose sum is σ = 174389760. Its totient is φ = 38549280.

The previous prime is 85032713. The next prime is 85032737. The reversal of 85032728 is 82723058.

It is a happy number.

It is a super-2 number, since 2×850327282 = 14461129662243968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39701 + ... + 41787.

It is an arithmetic number, because the mean of its divisors is an integer number (5449680).

Almost surely, 285032728 is an apocalyptic number.

85032728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

85032728 is an abundant number, since it is smaller than the sum of its proper divisors (89357032).

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

85032728 is a wasteful number, since it uses less digits than its factorization.

85032728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 85032728 is about 9221.3192114795. The cubic root of 85032728 is about 439.7393911282.

The spelling of 85032728 in words is "eighty-five million, thirty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 88 463 926 1852 2087 3704 4174 5093 8348 10186 16696 20372 22957 40744 45914 91828 183656 966281 1932562 3865124 7730248 10629091 21258182 42516364 85032728