Search a number
-
+
80478 = 23217263
BaseRepresentation
bin10011101001011110
311002101200
4103221132
510033403
61420330
7453426
oct235136
9132350
1080478
1155512
123a6a6
132a828
1421486
1518ca3
hex13a5e

80478 has 24 divisors (see below), whose sum is σ = 185328. Its totient is φ = 25152.

The previous prime is 80473. The next prime is 80489. The reversal of 80478 is 87408.

It is a happy number.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175 + ... + 437.

It is an arithmetic number, because the mean of its divisors is an integer number (7722).

280478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92664).

80478 is an abundant number, since it is smaller than the sum of its proper divisors (104850).

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

80478 is a wasteful number, since it uses less digits than its factorization.

80478 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 80478 is about 283.6864466273. The cubic root of 80478 is about 43.1743417594.

The spelling of 80478 in words is "eighty thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 263 306 526 789 1578 2367 4471 4734 8942 13413 26826 40239 80478