Base | Representation |
---|---|
bin | 100000011110001… |
… | …0011000100000000 |
3 | 2210221011210121210 |
4 | 1000330103010000 |
5 | 4212411023134 |
6 | 300040450120 |
7 | 36000003240 |
oct | 10074230400 |
9 | 2727153553 |
10 | 1089548544 |
11 | 50a026a47 |
12 | 264a79940 |
13 | 1449617a6 |
14 | a49bbb20 |
15 | 659be2e9 |
hex | 40f13100 |
1089548544 has 144 divisors (see below), whose sum is σ = 3328940160. Its totient is φ = 309903360.
The previous prime is 1089548543. The next prime is 1089548569. The reversal of 1089548544 is 4458459801.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a junction number, because it is equal to n+sod(n) for n = 1089548493 and 1089548502.
It is not an unprimeable number, because it can be changed into a prime (1089548543) 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, 2091004 + ... + 2091524.
It is an arithmetic number, because the mean of its divisors is an integer number (23117640).
Almost surely, 21089548544 is an apocalyptic number.
1089548544 is a gapful number since it is divisible by the number (14) 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 1089548544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664470080).
1089548544 is an abundant number, since it is smaller than the sum of its proper divisors (2239391616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1089548544 is an equidigital number, since it uses as much as digits as its factorization.
1089548544 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 936 (or 922 counting only the distinct ones).
The product of its (nonzero) digits is 921600, while the sum is 48.
The square root of 1089548544 is about 33008.3102263657. The cubic root of 1089548544 is about 1029.0003636050. Note that the first 3 decimals are identical.
The spelling of 1089548544 in words is "one billion, eighty-nine million, five hundred forty-eight thousand, five hundred forty-four".
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