Search a number
-
+
92028 = 2237669
BaseRepresentation
bin10110011101111100
311200020110
4112131330
510421103
61550020
7532206
oct263574
9150213
1092028
1163162
1245310
1332b71
1425776
151c403
hex1677c

92028 has 12 divisors (see below), whose sum is σ = 214760. Its totient is φ = 30672.

The previous prime is 92009. The next prime is 92033. The reversal of 92028 is 82029.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 91995 and 92013.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 92028.

It is an unprimeable number.

92028 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 3823 + ... + 3846.

292028 is an apocalyptic number.

It is an amenable number.

92028 is an abundant number, since it is smaller than the sum of its proper divisors (122732).

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 (107380).

92028 is a wasteful number, since it uses less digits than its factorization.

92028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7676 (or 7674 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 92028 is about 303.3611708838. The cubic root of 92028 is about 45.1481536731.

Subtracting from 92028 its reverse (82029), we obtain a palindrome (9999).

The spelling of 92028 in words is "ninety-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 7669 15338 23007 30676 46014 92028