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85924 = 2221481
BaseRepresentation
bin10100111110100100
311100212101
4110332210
510222144
61501444
7505336
oct247644
9140771
1085924
1159613
1241884
1330157
1423456
151a6d4
hex14fa4

85924 has 6 divisors (see below), whose sum is σ = 150374. Its totient is φ = 42960.

The previous prime is 85909. The next prime is 85931. The reversal of 85924 is 42958.

It is a happy number.

85924 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 79524 + 6400 = 282^2 + 80^2 .

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 85892 and 85901.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10737 + ... + 10744.

285924 is an apocalyptic number.

It is an amenable number.

85924 is a deficient number, since it is larger than the sum of its proper divisors (64450).

85924 is a wasteful number, since it uses less digits than its factorization.

85924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21485 (or 21483 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 85924 is about 293.1279584072. The cubic root of 85924 is about 44.1270432971.

Adding to 85924 its product of digits (2880), we get a square (88804 = 2982).

The spelling of 85924 in words is "eighty-five thousand, nine hundred twenty-four".

Divisors: 1 2 4 21481 42962 85924