Base | Representation |
---|---|
bin | 111111010010111… |
… | …0010111101000000 |
3 | 12111000101002222211 |
4 | 1332211302331000 |
5 | 13322200242443 |
6 | 550425111504 |
7 | 103426214221 |
oct | 17645627500 |
9 | 5430332884 |
10 | 2123837248 |
11 | 99a93a3a5 |
12 | 4b3328594 |
13 | 27b015a40 |
14 | 1620d3248 |
15 | c66c519d |
hex | 7e972f40 |
2123837248 has 56 divisors (see below), whose sum is σ = 4546623368. Its totient is φ = 978518016.
The previous prime is 2123837231. The next prime is 2123837257. The reversal of 2123837248 is 8427383212.
It can be written as a sum of positive squares in 4 ways, for example, as 8573184 + 2115264064 = 2928^2 + 45992^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 2123837248.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 558040 + ... + 561832.
It is an arithmetic number, because the mean of its divisors is an integer number (81189703).
Almost surely, 22123837248 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 2123837248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273311684).
2123837248 is an abundant number, since it is smaller than the sum of its proper divisors (2422786120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2123837248 is a wasteful number, since it uses less digits than its factorization.
2123837248 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4491 (or 4481 counting only the distinct ones).
The product of its digits is 129024, while the sum is 40.
The square root of 2123837248 is about 46085.1087445826. The cubic root of 2123837248 is about 1285.4062613457.
The spelling of 2123837248 in words is "two billion, one hundred twenty-three million, eight hundred thirty-seven thousand, two hundred forty-eight".
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