Base | Representation |
---|---|
bin | 111111000101000… |
… | …010100001000000 |
3 | 2201202100110222011 |
4 | 333011002201000 |
5 | 4131410120012 |
6 | 253002422304 |
7 | 35140164565 |
oct | 7705024100 |
9 | 2652313864 |
10 | 1058285632 |
11 | 4a3413728 |
12 | 256501994 |
13 | 13b336a21 |
14 | a07a086c |
15 | 62d961a7 |
hex | 3f142840 |
1058285632 has 84 divisors (see below), whose sum is σ = 2308928580. Its totient is φ = 480600064.
The previous prime is 1058285597. The next prime is 1058285633. The reversal of 1058285632 is 2365828501.
It can be written as a sum of positive squares in 6 ways, for example, as 25563136 + 1032722496 = 5056^2 + 32136^2 .
It is a super-2 number, since 2×10582856322 = 2239936957795278848, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (1058285633) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 535398 + ... + 537370.
It is an arithmetic number, because the mean of its divisors is an integer number (27487245).
Almost surely, 21058285632 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 1058285632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154464290).
1058285632 is an abundant number, since it is smaller than the sum of its proper divisors (1250642948).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1058285632 is a wasteful number, since it uses less digits than its factorization.
1058285632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2048 (or 2021 counting only the distinct ones).
The product of its (nonzero) digits is 115200, while the sum is 40.
The square root of 1058285632 is about 32531.3023409761. The cubic root of 1058285632 is about 1019.0628429249.
The spelling of 1058285632 in words is "one billion, fifty-eight million, two hundred eighty-five thousand, six hundred thirty-two".
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