Base | Representation |
---|---|
bin | 1001010001001110… |
… | …0011101101100000 |
3 | 20102101220100222000 |
4 | 2110103203231200 |
5 | 20043431424401 |
6 | 1050521444000 |
7 | 115441653066 |
oct | 22423435540 |
9 | 6371810860 |
10 | 2488154976 |
11 | 106755372a |
12 | 595340600 |
13 | 308642b68 |
14 | 19864a036 |
15 | e868b186 |
hex | 944e3b60 |
2488154976 has 72 divisors (see below), whose sum is σ = 7261397640. Its totient is φ = 828896256.
The previous prime is 2488154971. The next prime is 2488155029. The reversal of 2488154976 is 6794518842.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
2488154976 is a `hidden beast` number, since 2 + 488 + 154 + 9 + 7 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2488154971) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1465360 + ... + 1467056.
It is an arithmetic number, because the mean of its divisors is an integer number (100852745).
Almost surely, 22488154976 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 2488154976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630698820).
2488154976 is an abundant number, since it is smaller than the sum of its proper divisors (4773242664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2488154976 is an frugal number, since it uses more digits than its factorization.
2488154976 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3413 (or 1702 counting only the distinct ones).
The product of its digits is 3870720, while the sum is 54.
The square root of 2488154976 is about 49881.4091220366. The cubic root of 2488154976 is about 1355.0619246128.
Multiplying 2488154976 by its sum of digits (54), we get a square (134360368704 = 3665522).
2488154976 divided by its sum of digits (54) gives a square (46076944 = 67882).
It can be divided in two parts, 2488 and 154976, that added together give a cube (157464 = 543).
The spelling of 2488154976 in words is "two billion, four hundred eighty-eight million, one hundred fifty-four thousand, nine hundred seventy-six".
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