Base | Representation |
---|---|
bin | 1001100000110010… |
… | …0110111000110000 |
3 | 20120221202021201000 |
4 | 2120030212320300 |
5 | 20212140114330 |
6 | 1101213042000 |
7 | 120163616565 |
oct | 23014467060 |
9 | 6527667630 |
10 | 2553441840 |
11 | 10a0395714 |
12 | 5b3186300 |
13 | 319021341 |
14 | 1a31a286c |
15 | ee285560 |
hex | 98326e30 |
2553441840 has 160 divisors (see below), whose sum is σ = 8815953600. Its totient is φ = 679311360.
The previous prime is 2553441833. The next prime is 2553441841. The reversal of 2553441840 is 481443552.
It is a happy number.
2553441840 is a `hidden beast` number, since 2 + 5 + 534 + 41 + 84 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 2553441795 and 2553441804.
It is not an unprimeable number, because it can be changed into a prime (2553441841) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1124226 + ... + 1126494.
It is an arithmetic number, because the mean of its divisors is an integer number (55099710).
Almost surely, 22553441840 is an apocalyptic number.
2553441840 is a gapful number since it is divisible by the number (20) 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 2553441840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4407976800).
2553441840 is an abundant number, since it is smaller than the sum of its proper divisors (6262511760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2553441840 is a wasteful number, since it uses less digits than its factorization.
2553441840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2812 (or 2800 counting only the distinct ones).
The product of its (nonzero) digits is 76800, while the sum is 36.
The square root of 2553441840 is about 50531.5924942011. The cubic root of 2553441840 is about 1366.8116025812.
The spelling of 2553441840 in words is "two billion, five hundred fifty-three million, four hundred forty-one thousand, eight hundred forty".
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