Base | Representation |
---|---|
bin | 111110001001110… |
… | …111010100010000 |
3 | 2200200011101000000 |
4 | 332021313110100 |
5 | 4113422221024 |
6 | 251250130000 |
7 | 34561266201 |
oct | 7611672420 |
9 | 2620141000 |
10 | 1042773264 |
11 | 495688a95 |
12 | 251280900 |
13 | 138065100 |
14 | 9c6c35a8 |
15 | 6182ecc9 |
hex | 3e277510 |
1042773264 has 315 divisors, whose sum is σ = 3428925717. Its totient is φ = 306903168.
The previous prime is 1042773253. The next prime is 1042773283. The reversal of 1042773264 is 4623772401.
The square root of 1042773264 is 32292.
It is a perfect power (a square), and thus also a powerful number.
1042773264 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 only one way, i.e., 154256400 + 888516864 = 12420^2 + 29808^2 .
It is a super-2 number, since 2×10427732642 = 2174752160226427392, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 45337957 + ... + 45337979.
Almost surely, 21042773264 is an apocalyptic number.
1042773264 is the 32292-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1042773264
1042773264 is an abundant number, since it is smaller than the sum of its proper divisors (2386152453).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1042773264 is an equidigital number, since it uses as much as digits as its factorization.
1042773264 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 98 (or 41 counting only the distinct ones).
The product of its (nonzero) digits is 56448, while the sum is 36.
The cubic root of 1042773264 is about 1014.0591681450.
Multiplying 1042773264 by its sum of digits (36), we get a square (37539837504 = 1937522).
1042773264 divided by its sum of digits (36) gives a square (28965924 = 53822).
The spelling of 1042773264 in words is "one billion, forty-two million, seven hundred seventy-three thousand, two hundred sixty-four".
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