Base | Representation |
---|---|
bin | 111101111100100… |
… | …100100101000100 |
3 | 2200102121100000000 |
4 | 331330210211010 |
5 | 4112024214034 |
6 | 251043321300 |
7 | 34516544022 |
oct | 7574444504 |
9 | 2612540000 |
10 | 1039288644 |
11 | 493718a39 |
12 | 250080230 |
13 | 137414cc4 |
14 | 9c057712 |
15 | 61392599 |
hex | 3df24944 |
1039288644 has 81 divisors (see below), whose sum is σ = 2741771487. Its totient is φ = 344688696.
The previous prime is 1039288639. The next prime is 1039288651. The reversal of 1039288644 is 4468829301.
It is a happy number.
The square root of 1039288644 is 32238.
It is a perfect power (a square), and thus also a powerful number.
1039288644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (81).
It is a self number, because there is not a number n which added to its sum of digits gives 1039288644.
It is an unprimeable number.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5222457 + ... + 5222655.
Almost surely, 21039288644 is an apocalyptic number.
1039288644 is the 32238-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1039288644
1039288644 is an abundant number, since it is smaller than the sum of its proper divisors (1702482843).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1039288644 is an frugal number, since it uses more digits than its factorization.
1039288644 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 426 (or 204 counting only the distinct ones).
The product of its (nonzero) digits is 331776, while the sum is 45.
The cubic root of 1039288644 is about 1012.9283520875.
Multiplying 1039288644 by its product of nonzero digits (331776), we get a square (344811029151744 = 185690882).
The spelling of 1039288644 in words is "one billion, thirty-nine million, two hundred eighty-eight thousand, six hundred forty-four".
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