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85092 = 22371013
BaseRepresentation
bin10100110001100100
311022201120
4110301210
510210332
61453540
7503040
oct246144
9138646
1085092
1158a27
12412b0
132c967
1423020
151a32c
hex14c64

85092 has 24 divisors (see below), whose sum is σ = 227136. Its totient is φ = 24288.

The previous prime is 85091. The next prime is 85093. The reversal of 85092 is 29058.

It is an interprime number because it is at equal distance from previous prime (85091) and next prime (85093).

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85092.

It is not an unprimeable number, because it can be changed into a prime (85091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 423 + ... + 590.

It is an arithmetic number, because the mean of its divisors is an integer number (9464).

285092 is an apocalyptic number.

It is an amenable number.

85092 is an abundant number, since it is smaller than the sum of its proper divisors (142044).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113568).

85092 is a wasteful number, since it uses less digits than its factorization.

85092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 85092 is about 291.7053307706. The cubic root of 85092 is about 43.9841540736.

The spelling of 85092 in words is "eighty-five thousand, ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1013 2026 3039 4052 6078 7091 12156 14182 21273 28364 42546 85092