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80892 = 22337107
BaseRepresentation
bin10011101111111100
311002222000
4103233330
510042032
61422300
7454560
oct235774
9132860
1080892
1155859
123a990
132aa86
14216a0
1518e7c
hex13bfc

80892 has 48 divisors (see below), whose sum is σ = 241920. Its totient is φ = 22896.

The previous prime is 80863. The next prime is 80897. The reversal of 80892 is 29808.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703 + ... + 809.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

280892 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

80892 is an abundant number, since it is smaller than the sum of its proper divisors (161028).

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

80892 is a wasteful number, since it uses less digits than its factorization.

80892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 80892 is about 284.4151894678. The cubic root of 80892 is about 43.2482485620.

It can be divided in two parts, 808 and 92, that added together give a square (900 = 302).

The spelling of 80892 in words is "eighty thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 107 108 126 189 214 252 321 378 428 642 749 756 963 1284 1498 1926 2247 2889 2996 3852 4494 5778 6741 8988 11556 13482 20223 26964 40446 80892