Base | Representation |
---|---|
bin | 1001000010101001… |
… | …1110100000000100 |
3 | 20021010221010022000 |
4 | 2100222132200010 |
5 | 14432311212314 |
6 | 1040500105300 |
7 | 114100422300 |
oct | 22052364004 |
9 | 6233833260 |
10 | 2427054084 |
11 | 1036010724 |
12 | 578995230 |
13 | 2c8a9baa0 |
14 | 1904a2d00 |
15 | e311c209 |
hex | 90a9e804 |
2427054084 has 144 divisors (see below), whose sum is σ = 7882963200. Its totient is φ = 640084032.
The previous prime is 2427054067. The next prime is 2427054089. The reversal of 2427054084 is 4804507242.
2427054084 is a `hidden beast` number, since 2 + 42 + 70 + 540 + 8 + 4 = 666.
It is a super-2 number, since 2×24270540842 = 11781183053322158112, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (2427054089) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51157 + ... + 86435.
It is an arithmetic number, because the mean of its divisors is an integer number (54742800).
Almost surely, 22427054084 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 2427054084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941481600).
2427054084 is an abundant number, since it is smaller than the sum of its proper divisors (5455909116).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2427054084 is a wasteful number, since it uses less digits than its factorization.
2427054084 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 35319 (or 35304 counting only the distinct ones).
The product of its (nonzero) digits is 71680, while the sum is 36.
The square root of 2427054084 is about 49265.1406574669. The cubic root of 2427054084 is about 1343.8779185986.
The spelling of 2427054084 in words is "two billion, four hundred twenty-seven million, fifty-four thousand, eighty-four".
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