Base | Representation |
---|---|
bin | 111101000001000… |
… | …1001000000000000 |
3 | 12021200111202102121 |
4 | 1322002021000000 |
5 | 13143112202004 |
6 | 535054254024 |
7 | 101510312200 |
oct | 17202110000 |
9 | 5250452377 |
10 | 2047381504 |
11 | 96076a033 |
12 | 4917b7314 |
13 | 26822695c |
14 | 155cb0400 |
15 | beb21854 |
hex | 7a089000 |
2047381504 has 117 divisors (see below), whose sum is σ = 4810336761. Its totient is φ = 868761600.
The previous prime is 2047381481. The next prime is 2047381507. The reversal of 2047381504 is 4051837402.
The square root of 2047381504 is 45248.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 1967099904 + 80281600 = 44352^2 + 8960^2 .
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 2047381504.
It is not an unprimeable number, because it can be changed into a prime (2047381507) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20271054 + ... + 20271154.
Almost surely, 22047381504 is an apocalyptic number.
2047381504 is the 45248-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2047381504
2047381504 is an abundant number, since it is smaller than the sum of its proper divisors (2762955257).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2047381504 is an frugal number, since it uses more digits than its factorization.
2047381504 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 240 (or 110 counting only the distinct ones).
The product of its (nonzero) digits is 26880, while the sum is 34.
The cubic root of 2047381504 is about 1269.7929900053.
The spelling of 2047381504 in words is "two billion, forty-seven million, three hundred eighty-one thousand, five hundred four".
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