Base | Representation |
---|---|
bin | 111100001110101… |
… | …010011110010000 |
3 | 2121102101112210000 |
4 | 330032222132100 |
5 | 4032140230234 |
6 | 244134010000 |
7 | 34016624631 |
oct | 7416523620 |
9 | 2542345700 |
10 | 1010476944 |
11 | 47942a314 |
12 | 2424a6900 |
13 | 131467b69 |
14 | 982b7888 |
15 | 5daa0899 |
hex | 3c3aa790 |
1010476944 has 75 divisors (see below), whose sum is σ = 2927929323. Its totient is φ = 336444192.
The previous prime is 1010476937. The next prime is 1010476967. The reversal of 1010476944 is 4496740101.
The square root of 1010476944 is 31788.
It is a perfect power (a square), and thus also a powerful number.
1010476944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 1010476899 and 1010476908.
It is an unprimeable number.
It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1143927 + ... + 1144809.
Almost surely, 21010476944 is an apocalyptic number.
1010476944 is the 31788-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1010476944
1010476944 is an abundant number, since it is smaller than the sum of its proper divisors (1917452379).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1010476944 is an frugal number, since it uses more digits than its factorization.
1010476944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1786 (or 888 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 36.
The cubic root of 1010476944 is about 1003.4801889015.
Multiplying 1010476944 by its sum of digits (36), we get a square (36377169984 = 1907282).
1010476944 divided by its sum of digits (36) gives a square (28068804 = 52982).
The spelling of 1010476944 in words is "one billion, ten million, four hundred seventy-six thousand, nine hundred forty-four".
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