Base | Representation |
---|---|
bin | 1001100101111… |
… | …11101111000100 |
3 | 12121102122212020 |
4 | 10302333233010 |
5 | 131100231444 |
6 | 11552523140 |
7 | 1665021120 |
oct | 462775704 |
9 | 177378766 |
10 | 80477124 |
11 | 41477722 |
12 | 22b504b0 |
13 | 13899600 |
14 | a98c580 |
15 | 70ea119 |
hex | 4cbfbc4 |
80477124 has 72 divisors (see below), whose sum is σ = 232424640. Its totient is φ = 21220992.
The previous prime is 80477083. The next prime is 80477129. The reversal of 80477124 is 42177408.
80477124 is nontrivially palindromic in base 16.
It is a super-2 number, since 2×804771242 = 12953134974622752, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (80477129) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11362 + ... + 17030.
It is an arithmetic number, because the mean of its divisors is an integer number (3228120).
Almost surely, 280477124 is an apocalyptic number.
80477124 is a gapful number since it is divisible by the number (84) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 80477124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116212320).
80477124 is an abundant number, since it is smaller than the sum of its proper divisors (151947516).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
80477124 is a wasteful number, since it uses less digits than its factorization.
80477124 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5709 (or 5694 counting only the distinct ones).
The product of its (nonzero) digits is 12544, while the sum is 33.
The square root of 80477124 is about 8970.9043022429. The cubic root of 80477124 is about 431.7418510850.
It can be divided in two parts, 80477 and 124, that added together give a triangular number (80601 = T401).
The spelling of 80477124 in words is "eighty million, four hundred seventy-seven thousand, one hundred twenty-four".
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