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80192 = 267179
BaseRepresentation
bin10011100101000000
311002000002
4103211000
510031232
61415132
7452540
oct234500
9132002
1080192
1155282
123a4a8
132a668
1421320
1518b62
hex13940

80192 has 28 divisors (see below), whose sum is σ = 182880. Its totient is φ = 34176.

The previous prime is 80191. The next prime is 80207. The reversal of 80192 is 29108.

It can be divided in two parts, 80 and 192, that added together give a palindrome (272).

It is a tau number, because it is divible by the number of its divisors (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80191) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 359 + ... + 537.

280192 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 80192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91440).

80192 is an abundant number, since it is smaller than the sum of its proper divisors (102688).

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

80192 is a wasteful number, since it uses less digits than its factorization.

80192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 80192 is about 283.1819203268. The cubic root of 80192 is about 43.1231372156.

The spelling of 80192 in words is "eighty thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 179 224 358 448 716 1253 1432 2506 2864 5012 5728 10024 11456 20048 40096 80192