Base | Representation |
---|---|
bin | 111110010111001… |
… | …0011100100000000 |
3 | 12101211102200221100 |
4 | 1330232103210000 |
5 | 13241140413121 |
6 | 543345454400 |
7 | 102566033361 |
oct | 17456234400 |
9 | 5354380840 |
10 | 2092513536 |
11 | 984195433 |
12 | 4a4941400 |
13 | 2746993b9 |
14 | 15bc9bb68 |
15 | c3a89026 |
hex | 7cb93900 |
2092513536 has 81 divisors (see below), whose sum is σ = 6039569809. Its totient is φ = 696772608.
The previous prime is 2092513517. The next prime is 2092513559. The reversal of 2092513536 is 6353152902.
The square root of 2092513536 is 45744.
It is a perfect power (a square), and thus also a powerful number.
2092513536 is a `hidden beast` number, since 2 + 0 + 92 + 513 + 53 + 6 = 666.
It can be written as a sum of positive squares in only one way, i.e., 871430400 + 1221083136 = 29520^2 + 34944^2 .
It is a super-2 number, since 2×20925135362 = 8757225796686446592, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
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 2092513536.
It is an unprimeable number.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2195236 + ... + 2196188.
Almost surely, 22092513536 is an apocalyptic number.
2092513536 is the 45744-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2092513536
2092513536 is an abundant number, since it is smaller than the sum of its proper divisors (3947056273).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2092513536 is an frugal number, since it uses more digits than its factorization.
2092513536 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1928 (or 958 counting only the distinct ones).
The product of its (nonzero) digits is 48600, while the sum is 36.
The cubic root of 2092513536 is about 1279.0556054726.
Multiplying 2092513536 by its sum of digits (36), we get a square (75330487296 = 2744642).
2092513536 divided by its sum of digits (36) gives a square (58125376 = 76242).
The spelling of 2092513536 in words is "two billion, ninety-two million, five hundred thirteen thousand, five hundred thirty-six".
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