Base | Representation |
---|---|
bin | 1010001010011111… |
… | …1111000001100100 |
3 | 21001010221121111111 |
4 | 2202213333001210 |
5 | 21041432001011 |
6 | 1130422514404 |
7 | 124416640000 |
oct | 24247770144 |
9 | 7033847444 |
10 | 2728390756 |
11 | 11801183a3 |
12 | 641895a04 |
13 | 346347100 |
14 | 1bc503700 |
15 | 10e7e2121 |
hex | a29ff064 |
2728390756 has 135 divisors (see below), whose sum is σ = 6182263563. Its totient is φ = 1053037440.
The previous prime is 2728390751. The next prime is 2728390799. The reversal of 2728390756 is 6570938272.
The square root of 2728390756 is 52234.
It is a perfect power (a square), and thus also a powerful number.
2728390756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 1817316900 + 911073856 = 42630^2 + 30184^2 .
It is a super-2 number, since 2×27283907562 = 14888232234852503072, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (49).
It is not an unprimeable number, because it can be changed into a prime (2728390751) by changing a digit.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 66546096 + ... + 66546136.
Almost surely, 22728390756 is an apocalyptic number.
2728390756 is a gapful number since it is divisible by the number (26) formed by its first and last digit.
2728390756 is the 52234-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2728390756
2728390756 is an abundant number, since it is smaller than the sum of its proper divisors (3453872807).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2728390756 is an equidigital number, since it uses as much as digits as its factorization.
2728390756 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 140 (or 63 counting only the distinct ones).
The product of its (nonzero) digits is 1270080, while the sum is 49.
The cubic root of 2728390756 is about 1397.3403170712.
Multiplying 2728390756 by its sum of digits (49), we get a square (133691147044 = 3656382).
2728390756 divided by its sum of digits (49) gives a square (55681444 = 74622).
The spelling of 2728390756 in words is "two billion, seven hundred twenty-eight million, three hundred ninety thousand, seven hundred fifty-six".
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