Base | Representation |
---|---|
bin | 111111000111101… |
… | …000000000010000 |
3 | 2201210121220210100 |
4 | 333013220000100 |
5 | 4132043312342 |
6 | 253025132400 |
7 | 35146020030 |
oct | 7707500020 |
9 | 2653556710 |
10 | 1058963472 |
11 | 4a3836a26 |
12 | 25678a100 |
13 | 13b513408 |
14 | a08d98c0 |
15 | 62e7be4c |
hex | 3f1e8010 |
1058963472 has 120 divisors (see below), whose sum is σ = 3496363520. Its totient is φ = 292792320.
The previous prime is 1058963471. The next prime is 1058963489. The reversal of 1058963472 is 2743698501.
1058963472 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 9 + 634 + 7 + 2 = 666.
1058963472 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×10589634722 = 2242807270060589568, which contains 22 as substring.
It is an alternating number because its digits alternate between odd and even.
1058963472 is strictly pandigital in base 10.
It is not an unprimeable number, because it can be changed into a prime (1058963471) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14304 + ... + 48192.
It is a 1-persistent number, because it is pandigital, but 2⋅1058963472 = 2117926944 is not.
Almost surely, 21058963472 is an apocalyptic number.
1058963472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1058963472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748181760).
1058963472 is an abundant number, since it is smaller than the sum of its proper divisors (2437400048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1058963472 is a wasteful number, since it uses less digits than its factorization.
1058963472 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 33941 (or 33932 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 1058963472 is about 32541.7189466076. The cubic root of 1058963472 is about 1019.2803689908.
The spelling of 1058963472 in words is "one billion, fifty-eight million, nine hundred sixty-three thousand, four hundred seventy-two".
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