Base | Representation |
---|---|
bin | 1001101011010… |
… | …11010000000000 |
3 | 12122202100112122 |
4 | 10311223100000 |
5 | 131240222043 |
6 | 12015543412 |
7 | 2004005234 |
oct | 465532000 |
9 | 178670478 |
10 | 81179648 |
11 | 41907520 |
12 | 2322ab68 |
13 | 13a842c4 |
14 | aad25c4 |
15 | 71d8368 |
hex | 4d6b400 |
81179648 has 44 divisors (see below), whose sum is σ = 177057312. Its totient is φ = 36894720.
The previous prime is 81179639. The next prime is 81179701. The reversal of 81179648 is 84697118.
It is a tau number, because it is divible by the number of its divisors (44).
It is a Harshad number since it is a multiple of its sum of digits (44).
It is a junction number, because it is equal to n+sod(n) for n = 81179599 and 81179608.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7661 + ... + 14867.
Almost surely, 281179648 is an apocalyptic number.
81179648 is a gapful number since it is divisible by the number (88) 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 81179648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88528656).
81179648 is an abundant number, since it is smaller than the sum of its proper divisors (95877664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
81179648 is a wasteful number, since it uses less digits than its factorization.
81179648 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7238 (or 7220 counting only the distinct ones).
The product of its digits is 96768, while the sum is 44.
The square root of 81179648 is about 9009.9749167242. The cubic root of 81179648 is about 432.9945080526.
It can be divided in two parts, 8 and 1179648, that multiplied together give a square (9437184 = 30722).
The spelling of 81179648 in words is "eighty-one million, one hundred seventy-nine thousand, six hundred forty-eight".
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