| Base | Representation |
|---|---|
| bin | 110000111001011… |
| … | …100110001110100 |
| 3 | 2010011122221012200 |
| 4 | 300321130301310 |
| 5 | 3140003211302 |
| 6 | 213223144500 |
| 7 | 26220666633 |
| oct | 6071346164 |
| 9 | 2104587180 |
| 10 | 820366452 |
| 11 | 391091504 |
| 12 | 1aa8a5130 |
| 13 | 100c64049 |
| 14 | 7ad4b51a |
| 15 | 4c04b81c |
| hex | 30e5cc74 |
820366452 has 36 divisors (see below), whose sum is σ = 2075700900. Its totient is φ = 273192192.
The previous prime is 820366451. The next prime is 820366453. The reversal of 820366452 is 254663028.
820366452 is a `hidden beast` number, since 8 + 2 + 0 + 3 + 6 + 645 + 2 = 666.
820366452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (820366451) and next prime (820366453).
It can be written as a sum of positive squares in 2 ways, for example, as 788149476 + 32216976 = 28074^2 + 5676^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-2 number, since 2×8203664522 = 1346002231134136608, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (820366451) 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, 28924 + ... + 49772.
Almost surely, 2820366452 is an apocalyptic number.
It is an amenable number.
820366452 is an abundant number, since it is smaller than the sum of its proper divisors (1255334448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
820366452 is a wasteful number, since it uses less digits than its factorization.
820366452 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21952 (or 21947 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 36.
The square root of 820366452 is about 28642.0399413170. The cubic root of 820366452 is about 936.1295706009.
It can be divided in two parts, 82036 and 6452, that added together give a palindrome (88488).
The spelling of 820366452 in words is "eight hundred twenty million, three hundred sixty-six thousand, four hundred fifty-two".
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