Base | Representation |
---|---|
bin | 1001100100011… |
… | …01111101010000 |
3 | 12121001022011200 |
4 | 10302031331100 |
5 | 131022220412 |
6 | 11544311200 |
7 | 1663211514 |
oct | 462157520 |
9 | 177038150 |
10 | 80273232 |
11 | 41348516 |
12 | 22a72500 |
13 | 13827870 |
14 | a938144 |
15 | 70a99dc |
hex | 4c8df50 |
80273232 has 120 divisors (see below), whose sum is σ = 244479144. Its totient is φ = 24440832.
The previous prime is 80273231. The next prime is 80273257. The reversal of 80273232 is 23237208.
It can be written as a sum of positive squares in 4 ways, for example, as 992016 + 79281216 = 996^2 + 8904^2 .
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 80273196 and 80273205.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (80273231) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256308 + ... + 256620.
Almost surely, 280273232 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 80273232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122239572).
80273232 is an abundant number, since it is smaller than the sum of its proper divisors (164205912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
80273232 is a wasteful number, since it uses less digits than its factorization.
80273232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 477 (or 468 counting only the distinct ones).
The product of its (nonzero) digits is 4032, while the sum is 27.
The square root of 80273232 is about 8959.5330235454. The cubic root of 80273232 is about 431.3769310044.
The spelling of 80273232 in words is "eighty million, two hundred seventy-three thousand, two hundred thirty-two".
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