Base | Representation |
---|---|
bin | 110101101100101… |
… | …1001110100010000 |
3 | 11122120110000101000 |
4 | 1223121121310100 |
5 | 12142231241311 |
6 | 454443142000 |
7 | 62436141531 |
oct | 15331316420 |
9 | 4576400330 |
10 | 1801821456 |
11 | 845099146 |
12 | 423514900 |
13 | 2293aa156 |
14 | 13142c688 |
15 | a82b8056 |
hex | 6b659d10 |
1801821456 has 80 divisors (see below), whose sum is σ = 5190649920. Its totient is φ = 598429440.
The previous prime is 1801821451. The next prime is 1801821467. The reversal of 1801821456 is 6541281081.
1801821456 is a `hidden beast` number, since 180 + 1 + 8 + 21 + 456 = 666.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 1801821456.
It is not an unprimeable number, because it can be changed into a prime (1801821451) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113971 + ... + 128813.
It is an arithmetic number, because the mean of its divisors is an integer number (64883124).
Almost surely, 21801821456 is an apocalyptic number.
1801821456 is a gapful number since it is divisible by the number (16) 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 1801821456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595324960).
1801821456 is an abundant number, since it is smaller than the sum of its proper divisors (3388828464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1801821456 is a wasteful number, since it uses less digits than its factorization.
1801821456 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15141 (or 15129 counting only the distinct ones).
The product of its (nonzero) digits is 15360, while the sum is 36.
The square root of 1801821456 is about 42447.8675082742. The cubic root of 1801821456 is about 1216.8505742472.
The spelling of 1801821456 in words is "one billion, eight hundred one million, eight hundred twenty-one thousand, four hundred fifty-six".
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