| Base | Representation |
|---|---|
| bin | 111110101111100… |
| … | …011011011100100 |
| 3 | 2201100202022211200 |
| 4 | 332233203123210 |
| 5 | 4123434401114 |
| 6 | 252242002500 |
| 7 | 35041256004 |
| oct | 7657433344 |
| 9 | 2640668750 |
| 10 | 1052653284 |
| 11 | 4a0216aa1 |
| 12 | 254646430 |
| 13 | 13a114187 |
| 14 | 9db36004 |
| 15 | 62632409 |
| hex | 3ebe36e4 |
1052653284 has 72 divisors (see below), whose sum is σ = 2713451832. Its totient is φ = 344010240.
The previous prime is 1052653241. The next prime is 1052653289. The reversal of 1052653284 is 4823562501.
1052653284 is a `hidden beast` number, since 1 + 0 + 526 + 53 + 2 + 84 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 188293284 + 864360000 = 13722^2 + 29400^2 .
It is a super-2 number, since 2×10526532842 = 2216157872631969312, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (1052653289) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474562 + ... + 476774.
It is an arithmetic number, because the mean of its divisors is an integer number (37686831).
Almost surely, 21052653284 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1052653284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356725916).
1052653284 is an abundant number, since it is smaller than the sum of its proper divisors (1660798548).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1052653284 is a wasteful number, since it uses less digits than its factorization.
1052653284 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2477 (or 2472 counting only the distinct ones).
The product of its (nonzero) digits is 57600, while the sum is 36.
The square root of 1052653284 is about 32444.6187217542. The cubic root of 1052653284 is about 1017.2517599376.
The spelling of 1052653284 in words is "one billion, fifty-two million, six hundred fifty-three thousand, two hundred eighty-four".
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