Base | Representation |
---|---|
bin | 101101110110010… |
… | …110100000000000 |
3 | 1222121102120010000 |
4 | 231312112200000 |
5 | 3033410111111 |
6 | 204155040000 |
7 | 25030166436 |
oct | 5566264000 |
9 | 1877376100 |
10 | 769222656 |
11 | 36522a404 |
12 | 195740000 |
13 | c3498147 |
14 | 74236d56 |
15 | 477e7c56 |
hex | 2dd96800 |
769222656 has 120 divisors (see below), whose sum is σ = 2298105810. Its totient is φ = 256352256.
The previous prime is 769222631. The next prime is 769222673. The reversal of 769222656 is 656222967.
It can be written as a sum of positive squares in only one way, i.e., 717382656 + 51840000 = 26784^2 + 7200^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 163570 + ... + 168206.
Almost surely, 2769222656 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 769222656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149052905).
769222656 is an abundant number, since it is smaller than the sum of its proper divisors (1528883154).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
769222656 is an equidigital number, since it uses as much as digits as its factorization.
769222656 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4671 (or 4642 counting only the distinct ones).
The product of its digits is 544320, while the sum is 45.
The square root of 769222656 is about 27734.8635475280. The cubic root of 769222656 is about 916.2571057359.
The spelling of 769222656 in words is "seven hundred sixty-nine million, two hundred twenty-two thousand, six hundred fifty-six".
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